Least Common Multiple of 21, 57, 969

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 21, 57, 969 i.e. 6783 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 57, 969 is 6783.

LCM(21, 57, 969) = 6783

LCM of 21, 57, 969

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

LCM of:

Least Common Multiple of 21,57,969

Least Common Multiple (LCM) of 21,57,969 is 6783

3 21, 57, 969
19 7, 19, 323
7, 1, 17

∴ So the LCM of the given numbers is 3 x 19 x 7 x 1 x 17 = 6783

Least Common Multiple of 21,57,969 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 21,57,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,57,969) = 3

common factors(in case of two or more numbers have common factors) = 57

GCF(21,57,969) x common factors =3 x 57 = 171

LCM(21,57,969) = ( 21 × 57 × 969 ) / 171

LCM(21,57,969) = 1159893 / 171

LCM(21,57,969) = 6783

∴ Least Common Multiple of 21,57,969 is 6783

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 21, 57, 969

1. What is the LCM of 21, 57, 969?

Answer: LCM of 21, 57, 969 is 6783.

2. What are the Factors of 6783?

Answer: Factors of 6783 are . There are integers that are factors of 6783

3. How to Find the LCM of 21, 57, 969 ?

Least Common Multiple of 21, 57, 969.

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(21, 57, 969) = 3 x 7 x 17 x 19 = 6783.