Least Common Multiple of 49, 56, 644

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 49, 56, 644 i.e. 9016 smallest integer divisible by all numbers.

Least common multiple (LCM) of 49, 56, 644 is 9016.

LCM(49, 56, 644) = 9016

LCM of 49, 56, 644

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

LCM of:

Least Common Multiple of 49,56,644

Least Common Multiple (LCM) of 49,56,644 is 9016

2 49, 56, 644
2 49, 28, 322
7 49, 14, 161
7, 2, 23

∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 2 x 23 = 9016

Least Common Multiple of 49,56,644 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 49,56,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,56,644) = 7

common factors(in case of two or more numbers have common factors) = 28

GCF(49,56,644) x common factors =7 x 28 = 196

LCM(49,56,644) = ( 49 × 56 × 644 ) / 196

LCM(49,56,644) = 1767136 / 196

LCM(49,56,644) = 9016

∴ Least Common Multiple of 49,56,644 is 9016

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 49, 56, 644

1. What is the LCM of 49, 56, 644?

Answer: LCM of 49, 56, 644 is 9016.

2. What are the Factors of 9016?

Answer: Factors of 9016 are . There are integers that are factors of 9016

3. How to Find the LCM of 49, 56, 644 ?

Least Common Multiple of 49, 56, 644.

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(49, 56, 644) = 2 x 2 x 2 x 7 x 7 x 23 = 9016.