Least Common Multiple of 81, 21, 384

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, 21, 384 i.e. 72576 smallest integer divisible by all numbers.

Least common multiple (LCM) of 81, 21, 384 is 72576.

LCM(81, 21, 384) = 72576

LCM of 81, 21, 384

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

LCM of:

Least Common Multiple of 81,21,384

Least Common Multiple (LCM) of 81,21,384 is 72576

3 81, 21, 384
27, 7, 128

∴ So the LCM of the given numbers is 3 x 27 x 7 x 128 = 72576

Least Common Multiple of 81,21,384 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 81,21,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,21,384) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(81,21,384) x common factors =3 x 3 = 9

LCM(81,21,384) = ( 81 × 21 × 384 ) / 9

LCM(81,21,384) = 653184 / 9

LCM(81,21,384) = 72576

∴ Least Common Multiple of 81,21,384 is 72576

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 81, 21, 384

1. What is the LCM of 81, 21, 384?

Answer: LCM of 81, 21, 384 is 72576.

2. What are the Factors of 72576?

Answer: Factors of 72576 are . There are integers that are factors of 72576

3. How to Find the LCM of 81, 21, 384 ?

Least Common Multiple of 81, 21, 384.

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, 21, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 = 72576.