Least Common Multiple of 60, 39, 52, 438

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 60, 39, 52, 438 i.e. 56940 smallest integer divisible by all numbers.

Least common multiple (LCM) of 60, 39, 52, 438 is 56940.

LCM(60, 39, 52, 438) = 56940

LCM of 60, 39, 52, 438

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

LCM of:

Least Common Multiple of 60,39,52,438

Least Common Multiple (LCM) of 60,39,52,438 is 56940

2 60, 39, 52, 438
2 30, 39, 26, 219
3 15, 39, 13, 219
13 5, 13, 13, 73
5, 1, 1, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 5 x 1 x 1 x 73 = 56940

Least Common Multiple of 60,39,52,438 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 60,39,52,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,39,52,438) = 1

common factors(in case of two or more numbers have common factors) = 936

GCF(60,39,52,438) x common factors =1 x 936 = 936

LCM(60,39,52,438) = ( 60 × 39 × 52 × 438 ) / 936

LCM(60,39,52,438) = 53295840 / 936

LCM(60,39,52,438) = 56940

∴ Least Common Multiple of 60,39,52,438 is 56940

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 60, 39, 52, 438

1. What is the LCM of 60, 39, 52, 438?

Answer: LCM of 60, 39, 52, 438 is 56940.

2. What are the Factors of 56940?

Answer: Factors of 56940 are . There are integers that are factors of 56940

3. How to Find the LCM of 60, 39, 52, 438 ?

Least Common Multiple of 60, 39, 52, 438.

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(60, 39, 52, 438) = 2 x 2 x 3 x 5 x 13 x 73 = 56940.