Least Common Multiple of 614, 744, 464

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 614, 744, 464 i.e. 13247664 smallest integer divisible by all numbers.

Least common multiple (LCM) of 614, 744, 464 is 13247664.

LCM(614, 744, 464) = 13247664

LCM of 614, 744, 464

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

LCM of:

Least Common Multiple of 614,744,464

Least Common Multiple (LCM) of 614,744,464 is 13247664

2 614, 744, 464
2 307, 372, 232
2 307, 186, 116
307, 93, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 307 x 93 x 58 = 13247664

Least Common Multiple of 614,744,464 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 614,744,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,744,464) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(614,744,464) x common factors =2 x 8 = 16

LCM(614,744,464) = ( 614 × 744 × 464 ) / 16

LCM(614,744,464) = 211962624 / 16

LCM(614,744,464) = 13247664

∴ Least Common Multiple of 614,744,464 is 13247664

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 614, 744, 464

1. What is the LCM of 614, 744, 464?

Answer: LCM of 614, 744, 464 is 13247664.

2. What are the Factors of 13247664?

Answer: Factors of 13247664 are . There are integers that are factors of 13247664

3. How to Find the LCM of 614, 744, 464 ?

Least Common Multiple of 614, 744, 464.

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(614, 744, 464) = 2 x 2 x 2 x 2 x 3 x 29 x 31 x 307 = 13247664.