The multiple of a number is the product of this number by any other number (0, 1, 2, 3, ...). Show Our calculator works on the set of natural numbers, but there are multiples in the set of numbers, integers, real, etc. Therefore, a multiple can also be negative. For example, the number 45 can be divided by 3 without a reminder. Like this, 45 is a multiple of 15, because, 3 times 15 equals 45. In other words, we can say that 45 is a multiple of 3 because there is a natural - 3 - which multiplied by 15 equals 45. The statement '45 is a multiple of 3' is equivalent '45 is divisible by 3', or that 3 is a divider of 45. So to find the multiples of 15, simply multiply this number by a number of the set of natural numbers as many times as we want. See below how to do it for the number 15:
The first 5 multiples of 15 are: 0, 15, 30, 45, 60. Facts About Multiples
Common MultiplesIf two numbers are multiplied, then the product is a common multiple of these two numbers. Example: if two numbers 15 and 3 are multiplied, then the result 45 is a common multiple of 15 and 3. Note: The product of these two numbers is not necessarily the least common multiple-LCM of these numbers. Multiples Table
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The multiples of numbers calculator will find 100 multiples of a positive integer. For example, the multiples of 3 are calculated 3x1, 3x2, 3x3, 3x4, 3x5, etc., which equal 3, 6, 9, 12, 15, etc. You can designate a minimum value to generate multiples greater than a number. For example, to find 100 multiples of 36 that are greater than 1000 you will get: 1008, 1044, 1080, 1116, 1152, 1188, 1224, 1260, 1296, 1332, 1368, 1404, etc. Here is a list of the first 20 multiples of the integers 1 through 20. Multiples of 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40 Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60 Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80 Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100 Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120 Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140 Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160 Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180 Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200 Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220 Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240 Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260 Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280 Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300 Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320 Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340 Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360 Multiples of 19: 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323, 342, 361, 380 Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400 Finding multiples of any number can be done using the same methods as outlined above. You can see how this can be done with specific numbers, like the ones below, by clicking on the any of the links below: Multiples of 526 - The first five multiples of 526 are 526, 1052, 1578, 2104, 2630 Multiples of 606 - The first five multiples of 606 are 606, 1212, 1818, 2424, 3030 Multiples of 325 - The first five multiples of 325 are 325, 650, 975, 1300, 1625 Multiples of 782 - The first five multiples of 782 are 782, 1564, 2346, 3128, 3910 Multiples of 636 - The first five multiples of 636 are 636, 1272, 1908, 2544, 3180 Multiples of 15 are: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735 Finding out multiples of 15 is not difficult but before getting straight onto it, let us first understand what multiples are. A multiple of a number is the outcome of the product of that number with any other number. In other words, a number that can be divided by another number completely without leaving a remainder is called the multiple of that number. Multiples are usually considered in the form of whole numbers. Here, we will learn about all multiples of 15. Thus, the numbers that we will be focusing on are completely divisible by 15. All Multiples of 15A multiple of 15 is a number that can be represented in the form of 15n, where n is any natural number. A number that can be divided a certain number of times by another number is called the multiple of the other number. Suppose we have two numbers M and N. M is said to be the multiple of N if, M = nN, where n stands for natural numbers. Some common multiples of 15 are: 30, 45, 60, 75, 225 etc. The numbers that are products of 15 or can be divided by 15 without leaving a remainder are multiples of 15. By looking at the equation, one can easily identify multiples as well as factors of a given number. For example, 30, 45, 60, 75, and 225 are all common multiples of 15 pertaining to the following arrangement of equations:
These are all represented as multiples as they are procured by adding or subtracting the original number i.e. 15, multiple times. The common multiples of 15 chart looks something like this:
What is the 9th Multiple of 15?The 9th multiple of 15 is to be found multiplying 15 by 9, such that: 15 x 9 = 135 Thus, the ninth multiple of 15 is 135. Least Common Multiple of 15The Least Common Multiple is also referred to as Lowest Common Multiple or Least Common Divisor. If there are two integers a and b, in that case, the smallest positive integer that is evenly divisible by both a and b is the least common multiple of a and b. Suppose there are two numbers 15 and 3, the LCM (15,3) = 15 The LCM of two or more numbers is the smallest number that is divisible by the whole set of numbers without leaving a remainder. Just like the multiples of 15 are 15, 30, 45, 60, 90, 225, and so on, on the contrary 1, 2, 3, 4, 6, and 15 are factors of 15. Did You Know?Multiples and factors are often confused by people for one of the other. But they are not the same! The numbers that can completely divide a number without leaving a remainder are called the factors of that specific number. The basic concept is that 15 is one of the multiples of the factors of 15. For example, 7 is a factor of 14, i.e.7 completely divides 14 without leaving a remainder and having a quotient of 2. Conversely, 2 is also a factor of 14 as it gives 7 as a quotient on division. Thus, 14 has factors 2, 7, 14 and 1 which divide 14 without leaving any remainder. On the other hand, 14 is a multiple of 2 as well as a multiple of 7. 7 x 2 = 14 Factor of 14 Factor of 2 Multiple of 7 or 2
ConclusionThis is how we can calculate the multiples of 15. Focus on how the multiples are calculated so that you can easily do it for other numbers. Check the steps elaborately and practice. |