Least Common Multiple of 81, 56, 52, 576

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 81, 56, 52, 576 i.e. 471744 smallest integer divisible by all numbers.

Least common multiple (LCM) of 81, 56, 52, 576 is 471744.

LCM(81, 56, 52, 576) = 471744

LCM of 81, 56, 52, 576

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

LCM of:

Least Common Multiple of 81,56,52,576

Least Common Multiple (LCM) of 81,56,52,576 is 471744

2 81, 56, 52, 576
2 81, 28, 26, 288
2 81, 14, 13, 144
3 81, 7, 13, 72
3 27, 7, 13, 24
9, 7, 13, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 9 x 7 x 13 x 8 = 471744

Least Common Multiple of 81,56,52,576 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 81,56,52,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,56,52,576) = 1

common factors(in case of two or more numbers have common factors) = 288

GCF(81,56,52,576) x common factors =1 x 288 = 288

LCM(81,56,52,576) = ( 81 × 56 × 52 × 576 ) / 288

LCM(81,56,52,576) = 135862272 / 288

LCM(81,56,52,576) = 471744

∴ Least Common Multiple of 81,56,52,576 is 471744

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 81, 56, 52, 576

1. What is the LCM of 81, 56, 52, 576?

Answer: LCM of 81, 56, 52, 576 is 471744.

2. What are the Factors of 471744?

Answer: Factors of 471744 are . There are integers that are factors of 471744

3. How to Find the LCM of 81, 56, 52, 576 ?

Least Common Multiple of 81, 56, 52, 576.

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(81, 56, 52, 576) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 13 = 471744.