How do you find the least common multiple of three numbers? - Answers

The LCM can be found by taking the multiple of the highest power of prime factors from all numbers. For example, the LCM of 28, 98, and 350 is 4900, which is the multiple of the highest power of prime factors from all three numbers.28 = 2^2 x 798 = 2 x 7^2350 = 2 x 5^2 x 7and 2^2 x 5^2 x 7^2 = 4 x 25 x 49 = 4900.----Another example : the LCM of 28, 39, and 4228 = 2^2 x 739 = 3 x 1342 = 2 x 3 x 7Except for 2, the factors all have the exponent (1), i.e. 3 = 3^1and 2^2 x 3^1 x 7^1 x 13^1 = 4 x 3 x 7 x 13, for an LCM of 1092You can find that1092 = 28 x 391092 = 39 x 281092 = 42 x 26and there is no smaller number that is a multiple of all three.