Least Common Multiple of 744, 356, 14

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 744, 356, 14 i.e. 463512 smallest integer divisible by all numbers.

Least common multiple (LCM) of 744, 356, 14 is 463512.

LCM(744, 356, 14) = 463512

LCM of 744, 356, 14

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

LCM of:

Least Common Multiple of 744,356,14

Least Common Multiple (LCM) of 744,356,14 is 463512

2 744, 356, 14
2 372, 178, 7
186, 89, 7

∴ So the LCM of the given numbers is 2 x 2 x 186 x 89 x 7 = 463512

Least Common Multiple of 744,356,14 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 744,356,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,356,14) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(744,356,14) x common factors =2 x 4 = 8

LCM(744,356,14) = ( 744 × 356 × 14 ) / 8

LCM(744,356,14) = 3708096 / 8

LCM(744,356,14) = 463512

∴ Least Common Multiple of 744,356,14 is 463512

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 744, 356, 14

1. What is the LCM of 744, 356, 14?

Answer: LCM of 744, 356, 14 is 463512.

2. What are the Factors of 463512?

Answer: Factors of 463512 are . There are integers that are factors of 463512

3. How to Find the LCM of 744, 356, 14 ?

Least Common Multiple of 744, 356, 14.

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(744, 356, 14) = 2 x 2 x 2 x 3 x 7 x 31 x 89 = 463512.