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Answer 1: Listing multiplesList the first multiples of each number, 15, 25 and 30.


15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150

25: 25, 50, 75, 100, 125, 150, 175, 200, 225

30: 30, 60, 90, 120, 150, 180, 210, 240, 270


150 is the lowest common multiple of 15, 25 and 30.


Answer 2: Using prime factors

This is done by taking the number with the most same prime numbers and multiply it.


List the prime factorization of each number.


15: 3 x 5

25: 5 x 5

30, 2 x 3 x 5


30 is the only number with a two so one two is taken.

15 and 30 each have a three so only one three is taken.

25 has two 5's so two fives are taken.


2 * 3 * 5 * 5 = 150


150 is the lowest common multiple of 15, 25, and 30.

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