What is the least common multiple of 55,75, and 115

The least common multiple of the given numbers

=> 55

=> 75

=> 115

First, let’s decompose or find the prime factors of each numbers

=> 55 = 5 x 11

=> 75 = 3 x 5 x 5 or 3 x 5 2

=> 115 = 5 x 23

Now, we have the common prime factor which is 5.

The uncommon prime factors which are 11, 3 and 23

And the greatest exponent = 5 2

LCM = 52 x 11 x 3 x 23

=> 18, 975

least common multiple of the given three numbers can be found out as follows

first have to divide all three numbers by factors that are common for all three

so first divide 55, 75 and 115 by 5

55/5 = 11

75/5 = 15

115/5 = 23

there are no common factors shared by 11, 15 and 23

so the factors are 5, 11, 15 and 23

so to find the least common multiple

we have to find the products of the factors

5 x 11 x 15 x 23 = 18 975

least common multiple is 18 975