Least Common Multiple of 84, 56, 52, 320

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 84, 56, 52, 320 i.e. 87360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 84, 56, 52, 320 is 87360.

LCM(84, 56, 52, 320) = 87360

LCM of 84, 56, 52, 320

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

LCM of:

Least Common Multiple of 84,56,52,320

Least Common Multiple (LCM) of 84,56,52,320 is 87360

2 84, 56, 52, 320
2 42, 28, 26, 160
2 21, 14, 13, 80
7 21, 7, 13, 40
3, 1, 13, 40

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 3 x 1 x 13 x 40 = 87360

Least Common Multiple of 84,56,52,320 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 84,56,52,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,56,52,320) = 4

common factors(in case of two or more numbers have common factors) = 224

GCF(84,56,52,320) x common factors =4 x 224 = 896

LCM(84,56,52,320) = ( 84 × 56 × 52 × 320 ) / 896

LCM(84,56,52,320) = 78274560 / 896

LCM(84,56,52,320) = 87360

∴ Least Common Multiple of 84,56,52,320 is 87360

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 84, 56, 52, 320

1. What is the LCM of 84, 56, 52, 320?

Answer: LCM of 84, 56, 52, 320 is 87360.

2. What are the Factors of 87360?

Answer: Factors of 87360 are . There are integers that are factors of 87360

3. How to Find the LCM of 84, 56, 52, 320 ?

Least Common Multiple of 84, 56, 52, 320.

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(84, 56, 52, 320) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 = 87360.