Least Common Multiple of 52, 35, 24, 980

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 52, 35, 24, 980 i.e. 76440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 52, 35, 24, 980 is 76440.

LCM(52, 35, 24, 980) = 76440

LCM of 52, 35, 24, 980

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

LCM of:

Least Common Multiple of 52,35,24,980

Least Common Multiple (LCM) of 52,35,24,980 is 76440

2 52, 35, 24, 980
2 26, 35, 12, 490
5 13, 35, 6, 245
7 13, 7, 6, 49
13, 1, 6, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 13 x 1 x 6 x 7 = 76440

Least Common Multiple of 52,35,24,980 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 52,35,24,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,35,24,980) = 1

common factors(in case of two or more numbers have common factors) = 560

GCF(52,35,24,980) x common factors =1 x 560 = 560

LCM(52,35,24,980) = ( 52 × 35 × 24 × 980 ) / 560

LCM(52,35,24,980) = 42806400 / 560

LCM(52,35,24,980) = 76440

∴ Least Common Multiple of 52,35,24,980 is 76440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 52, 35, 24, 980

1. What is the LCM of 52, 35, 24, 980?

Answer: LCM of 52, 35, 24, 980 is 76440.

2. What are the Factors of 76440?

Answer: Factors of 76440 are . There are integers that are factors of 76440

3. How to Find the LCM of 52, 35, 24, 980 ?

Least Common Multiple of 52, 35, 24, 980.

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(52, 35, 24, 980) = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 13 = 76440.