Least Common Multiple of 564/755, 280/724, 675/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/755, 280/724, 675/664 quickly i.e. 1776600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/755, 280/724, 675/664 is 1776600.

LCM(564/755, 280/724, 675/664) = 1776600

LCM of 564/755, 280/724, 675/664

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 564/755,280/724,675/664

Given numbers are 564/755,280/724,675/664

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 564,280,675

Least Common Multiple of Numerators i.e. LCM of 564,280,675 is 1776600.

GCF of Denominators means GCF of 755,724,664 as per the given fractions.

GCF of 755,724,664 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,280,675

LCM of Fractions 564/755,280/724,675/664 is 1776600

2 564, 280, 675
2 282, 140, 675
3 141, 70, 675
5 47, 70, 225
47, 14, 45

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 47 x 14 x 45 = 1776600

Least Common Multiple of 564,280,675 with GCF Formula

Least Common Multiple of 564,280,675 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 564,280,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,280,675) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(564,280,675) x common factors =1 x 60 = 60

LCM(564,280,675) = ( 564 × 280 × 675 ) / 60

LCM(564,280,675) = 106596000 / 60

LCM(564,280,675) = 1776600


Lets's calculate GCF of 755,724,664

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1776600/1

Therefore the LCM of Fractions 564/755,280/724,675/664 is 1776600

Greatest Common Factor of 755,724,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,724,664 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 755,724,664 . The biggest common factor number is the GCF number.
So the greatest common factor 755,724,664 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 564/755, 280/724, 675/664

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 564/755, 280/724, 675/664?

Answer: LCM of Numerators as per given numbers 564/755, 280/724, 675/664 is

LCM of Numerators i.e. for 564,280,675 is 1776600

GCF of denominators i.e. for 755,724,664 is 1.

Thus, LCM of Fractions is 1776600.Finally, LCM of Fractions for 564/755, 280/724, 675/664 is 1776600.