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To solve common multiples, take the prime factorization of each number. As an example, lets look at 14, 50, and 70...
14 = 21 x 71
50 = 21 x 52
70 = 21 x 51 x 71
To find the least common multiple, take each factor present, with the maximum encountered value of its exponent, and multiply them together...
21 x 52 x 71 = 350. The LCM of 14, 50, and 70 is 350.
Not asked, but answered for completeness, to find the greatest common divisor, take each factor present, with the smallest encountered value of its exponent, and multiply them togother. Note that a missing factor effectively has an exponent of zero...
21 x 50 x 70 = 2. The GCD of 14, 50, and 70 is 2.
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How do you solve greatest common multiples?
This cannot be answered because the common multiples of any two or more numbers are infinite.
What are the first three common multiple of 9 and 15?
The way to solve this is as follows:Find the least common multiple of the two numbers.Multiply this least common multiple by 2 and by 3, to get the next two common multiples.
How do you find the most common multiple?
There is no "most common multiple". To find all common multiples, you start by finding the least common multiple. All other common multiples are multiples of this least common multiple.
What are the most common multiples of 10 and 9?
Each common multiple of 9 and 10 occurs exactly once (in the list of common multiples), so there is no common multiple that occurs the most. All common multiples of 9 and 10 are the multiples of their least common multiple which is 90.
What are the common multiples of 18 and 24?
The common multiples of 18 and 24 are 72 and 144.
