Least Common Multiple of 542, 385, 380, 646

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 542, 385, 380, 646 i.e. 134800820 smallest integer divisible by all numbers.

Least common multiple (LCM) of 542, 385, 380, 646 is 134800820.

LCM(542, 385, 380, 646) = 134800820

LCM of 542, 385, 380, 646

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

LCM of:

Least Common Multiple of 542,385,380,646

Least Common Multiple (LCM) of 542,385,380,646 is 134800820

2 542, 385, 380, 646
5 271, 385, 190, 323
19 271, 77, 38, 323
271, 77, 2, 17

∴ So the LCM of the given numbers is 2 x 5 x 19 x 271 x 77 x 2 x 17 = 134800820

Least Common Multiple of 542,385,380,646 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 542,385,380,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,385,380,646) = 1

common factors(in case of two or more numbers have common factors) = 380

GCF(542,385,380,646) x common factors =1 x 380 = 380

LCM(542,385,380,646) = ( 542 × 385 × 380 × 646 ) / 380

LCM(542,385,380,646) = 51224311600 / 380

LCM(542,385,380,646) = 134800820

∴ Least Common Multiple of 542,385,380,646 is 134800820

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 542, 385, 380, 646

1. What is the LCM of 542, 385, 380, 646?

Answer: LCM of 542, 385, 380, 646 is 134800820.

2. What are the Factors of 134800820?

Answer: Factors of 134800820 are . There are integers that are factors of 134800820

3. How to Find the LCM of 542, 385, 380, 646 ?

Least Common Multiple of 542, 385, 380, 646.

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(542, 385, 380, 646) = 2 x 2 x 5 x 7 x 11 x 17 x 19 x 271 = 134800820.