Least Common Multiple of 39, 92, 90, 115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 39, 92, 90, 115 i.e. 53820 smallest integer divisible by all numbers.

Least common multiple (LCM) of 39, 92, 90, 115 is 53820.

LCM(39, 92, 90, 115) = 53820

LCM of 39, 92, 90, 115

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 39,92,90,115

Least Common Multiple (LCM) of 39,92,90,115 is 53820

2 39, 92, 90, 115
3 39, 46, 45, 115
5 13, 46, 15, 115
23 13, 46, 3, 23
13, 2, 3, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 13 x 2 x 3 x 1 = 53820

Least Common Multiple of 39,92,90,115 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 39,92,90,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,92,90,115) = 1

common factors(in case of two or more numbers have common factors) = 690

GCF(39,92,90,115) x common factors =1 x 690 = 690

LCM(39,92,90,115) = ( 39 × 92 × 90 × 115 ) / 690

LCM(39,92,90,115) = 37135800 / 690

LCM(39,92,90,115) = 53820

∴ Least Common Multiple of 39,92,90,115 is 53820

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 39, 92, 90, 115

1. What is the LCM of 39, 92, 90, 115?

Answer: LCM of 39, 92, 90, 115 is 53820.

2. What are the Factors of 53820?

Answer: Factors of 53820 are . There are integers that are factors of 53820

3. How to Find the LCM of 39, 92, 90, 115 ?

Least Common Multiple of 39, 92, 90, 115.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(39, 92, 90, 115) = 2 x 2 x 3 x 3 x 5 x 13 x 23 = 53820.