Least Common Multiple of 856, 107, 74

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 856, 107, 74 i.e. 31672 smallest integer divisible by all numbers.

Least common multiple (LCM) of 856, 107, 74 is 31672.

LCM(856, 107, 74) = 31672

LCM of 856, 107, 74

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

LCM of:

Least Common Multiple of 856,107,74

Least Common Multiple (LCM) of 856,107,74 is 31672

2 856, 107, 74
107 428, 107, 37
4, 1, 37

∴ So the LCM of the given numbers is 2 x 107 x 4 x 1 x 37 = 31672

Least Common Multiple of 856,107,74 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 856,107,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,107,74) = 1

common factors(in case of two or more numbers have common factors) = 214

GCF(856,107,74) x common factors =1 x 214 = 214

LCM(856,107,74) = ( 856 × 107 × 74 ) / 214

LCM(856,107,74) = 6777808 / 214

LCM(856,107,74) = 31672

∴ Least Common Multiple of 856,107,74 is 31672

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 856, 107, 74

1. What is the LCM of 856, 107, 74?

Answer: LCM of 856, 107, 74 is 31672.

2. What are the Factors of 31672?

Answer: Factors of 31672 are . There are integers that are factors of 31672

3. How to Find the LCM of 856, 107, 74 ?

Least Common Multiple of 856, 107, 74.

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(856, 107, 74) = 2 x 2 x 2 x 37 x 107 = 31672.