Least Common Multiple of 87/567, 76/759, 546/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/567, 76/759, 546/327 quickly i.e. 200564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/567, 76/759, 546/327 is 200564.

LCM(87/567, 76/759, 546/327) = 200564

LCM of 87/567, 76/759, 546/327

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 87/567,76/759,546/327

Given numbers are 87/567,76/759,546/327

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 87,76,546

Least Common Multiple of Numerators i.e. LCM of 87,76,546 is 601692.

GCF of Denominators means GCF of 567,759,327 as per the given fractions.

GCF of 567,759,327 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,76,546

LCM of Fractions 87/567,76/759,546/327 is 200564

2 87, 76, 546
3 87, 38, 273
29, 38, 91

∴ So the LCM of the given numbers is 2 x 3 x 29 x 38 x 91 = 601692

Least Common Multiple of 87,76,546 with GCF Formula

Least Common Multiple of 87,76,546 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 87,76,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,76,546) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(87,76,546) x common factors =1 x 6 = 6

LCM(87,76,546) = ( 87 × 76 × 546 ) / 6

LCM(87,76,546) = 3610152 / 6

LCM(87,76,546) = 601692


Lets's calculate GCF of 567,759,327

3 567, 759, 327
189, 253, 109

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 601692/3

Therefore the LCM of Fractions 87/567,76/759,546/327 is 200564

Greatest Common Factor of 567,759,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,759,327 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 567,759,327 . The biggest common factor number is the GCF number.
So the greatest common factor 567,759,327 is 3.


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 87/567, 76/759, 546/327

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 87/567, 76/759, 546/327?

Answer: LCM of Numerators as per given numbers 87/567, 76/759, 546/327 is

LCM of Numerators i.e. for 87,76,546 is 601692

GCF of denominators i.e. for 567,759,327 is 3.

Thus, LCM of Fractions is 200564.Finally, LCM of Fractions for 87/567, 76/759, 546/327 is 200564.