Least Common Multiple of 464, 6728

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 464, 6728 i.e. 13456 smallest integer divisible by all numbers.

Least common multiple (LCM) of 464, 6728 is 13456.

LCM(464, 6728) = 13456

LCM of 464, 6728

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

LCM of:

Least Common Multiple of 464,6728

Least Common Multiple (LCM) of 464,6728 is 13456

2 464, 6728
2 232, 3364
2 116, 1682
29 58, 841
2, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 2 x 29 = 13456

Least Common Multiple of 464,6728 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 464,6728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,6728) = 232

common factors(in case of two or more numbers have common factors) = 1

GCF(464,6728) x common factors =232 x 1 = 232

LCM(464,6728) = ( 464 × 6728 ) / 232

LCM(464,6728) = 3121792 / 232

LCM(464,6728) = 13456

∴ Least Common Multiple of 464,6728 is 13456

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 464, 6728

1. What is the LCM of 464, 6728?

Answer: LCM of 464, 6728 is 13456.

2. What are the Factors of 13456?

Answer: Factors of 13456 are . There are integers that are factors of 13456

3. How to Find the LCM of 464, 6728 ?

Least Common Multiple of 464, 6728.

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(464, 6728) = 2 x 2 x 2 x 2 x 29 x 29 = 13456.