Least Common Multiple of 57, 42, 680

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 57, 42, 680 i.e. 271320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 57, 42, 680 is 271320.

LCM(57, 42, 680) = 271320

LCM of 57, 42, 680

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

LCM of:

Least Common Multiple of 57,42,680

Least Common Multiple (LCM) of 57,42,680 is 271320

2 57, 42, 680
3 57, 21, 340
19, 7, 340

∴ So the LCM of the given numbers is 2 x 3 x 19 x 7 x 340 = 271320

Least Common Multiple of 57,42,680 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 57,42,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,42,680) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(57,42,680) x common factors =1 x 6 = 6

LCM(57,42,680) = ( 57 × 42 × 680 ) / 6

LCM(57,42,680) = 1627920 / 6

LCM(57,42,680) = 271320

∴ Least Common Multiple of 57,42,680 is 271320

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 57, 42, 680

1. What is the LCM of 57, 42, 680?

Answer: LCM of 57, 42, 680 is 271320.

2. What are the Factors of 271320?

Answer: Factors of 271320 are . There are integers that are factors of 271320

3. How to Find the LCM of 57, 42, 680 ?

Least Common Multiple of 57, 42, 680.

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(57, 42, 680) = 2 x 2 x 2 x 3 x 5 x 7 x 17 x 19 = 271320.