Least Common Multiple of 542, 966, 978

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, 966, 978 i.e. 42671118 smallest integer divisible by all numbers.

Least common multiple (LCM) of 542, 966, 978 is 42671118.

LCM(542, 966, 978) = 42671118

LCM of 542, 966, 978

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

LCM of:

Least Common Multiple of 542,966,978

Least Common Multiple (LCM) of 542,966,978 is 42671118

2 542, 966, 978
3 271, 483, 489
271, 161, 163

∴ So the LCM of the given numbers is 2 x 3 x 271 x 161 x 163 = 42671118

Least Common Multiple of 542,966,978 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 542,966,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,966,978) = 2

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

GCF(542,966,978) x common factors =2 x 6 = 12

LCM(542,966,978) = ( 542 × 966 × 978 ) / 12

LCM(542,966,978) = 512053416 / 12

LCM(542,966,978) = 42671118

∴ Least Common Multiple of 542,966,978 is 42671118

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 542, 966, 978

1. What is the LCM of 542, 966, 978?

Answer: LCM of 542, 966, 978 is 42671118.

2. What are the Factors of 42671118?

Answer: Factors of 42671118 are . There are integers that are factors of 42671118

3. How to Find the LCM of 542, 966, 978 ?

Least Common Multiple of 542, 966, 978.

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, 966, 978) = 2 x 3 x 7 x 23 x 163 x 271 = 42671118.