Least Common Multiple of 71, 42, 78, 956

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 71, 42, 78, 956 i.e. 18530148 smallest integer divisible by all numbers.

Least common multiple (LCM) of 71, 42, 78, 956 is 18530148.

LCM(71, 42, 78, 956) = 18530148

LCM of 71, 42, 78, 956

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

LCM of:

Least Common Multiple of 71,42,78,956

Least Common Multiple (LCM) of 71,42,78,956 is 18530148

2 71, 42, 78, 956
3 71, 21, 39, 478
71, 7, 13, 478

∴ So the LCM of the given numbers is 2 x 3 x 71 x 7 x 13 x 478 = 18530148

Least Common Multiple of 71,42,78,956 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 71,42,78,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,42,78,956) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(71,42,78,956) x common factors =1 x 12 = 12

LCM(71,42,78,956) = ( 71 × 42 × 78 × 956 ) / 12

LCM(71,42,78,956) = 222361776 / 12

LCM(71,42,78,956) = 18530148

∴ Least Common Multiple of 71,42,78,956 is 18530148

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 71, 42, 78, 956

1. What is the LCM of 71, 42, 78, 956?

Answer: LCM of 71, 42, 78, 956 is 18530148.

2. What are the Factors of 18530148?

Answer: Factors of 18530148 are . There are integers that are factors of 18530148

3. How to Find the LCM of 71, 42, 78, 956 ?

Least Common Multiple of 71, 42, 78, 956.

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(71, 42, 78, 956) = 2 x 2 x 3 x 7 x 13 x 71 x 239 = 18530148.