Least Common Multiple of 577, 314, 864

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 577, 314, 864 i.e. 78268896 smallest integer divisible by all numbers.

Least common multiple (LCM) of 577, 314, 864 is 78268896.

LCM(577, 314, 864) = 78268896

LCM of 577, 314, 864

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

LCM of:

Least Common Multiple of 577,314,864

Least Common Multiple (LCM) of 577,314,864 is 78268896

2 577, 314, 864
577, 157, 432

∴ So the LCM of the given numbers is 2 x 577 x 157 x 432 = 78268896

Least Common Multiple of 577,314,864 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 577,314,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,314,864) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(577,314,864) x common factors =1 x 2 = 2

LCM(577,314,864) = ( 577 × 314 × 864 ) / 2

LCM(577,314,864) = 156537792 / 2

LCM(577,314,864) = 78268896

∴ Least Common Multiple of 577,314,864 is 78268896

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 577, 314, 864

1. What is the LCM of 577, 314, 864?

Answer: LCM of 577, 314, 864 is 78268896.

2. What are the Factors of 78268896?

Answer: Factors of 78268896 are . There are integers that are factors of 78268896

3. How to Find the LCM of 577, 314, 864 ?

Least Common Multiple of 577, 314, 864.

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(577, 314, 864) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 157 x 577 = 78268896.