Least Common Multiple of 87/640, 842/979, 752/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/640, 842/979, 752/722 quickly i.e. 27543504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/640, 842/979, 752/722 is 27543504.

LCM(87/640, 842/979, 752/722) = 27543504

LCM of 87/640, 842/979, 752/722

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 87/640,842/979,752/722

Given numbers are 87/640,842/979,752/722

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 87,842,752

Least Common Multiple of Numerators i.e. LCM of 87,842,752 is 27543504.

GCF of Denominators means GCF of 640,979,722 as per the given fractions.

GCF of 640,979,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,842,752

LCM of Fractions 87/640,842/979,752/722 is 27543504

2 87, 842, 752
87, 421, 376

∴ So the LCM of the given numbers is 2 x 87 x 421 x 376 = 27543504

Least Common Multiple of 87,842,752 with GCF Formula

Least Common Multiple of 87,842,752 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 87,842,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,842,752) = 1

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

GCF(87,842,752) x common factors =1 x 2 = 2

LCM(87,842,752) = ( 87 × 842 × 752 ) / 2

LCM(87,842,752) = 55087008 / 2

LCM(87,842,752) = 27543504


Lets's calculate GCF of 640,979,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27543504/1

Therefore the LCM of Fractions 87/640,842/979,752/722 is 27543504

Greatest Common Factor of 640,979,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,979,722 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 640,979,722 . The biggest common factor number is the GCF number.
So the greatest common factor 640,979,722 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 87/640, 842/979, 752/722

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 87/640, 842/979, 752/722?

Answer: LCM of Numerators as per given numbers 87/640, 842/979, 752/722 is

LCM of Numerators i.e. for 87,842,752 is 27543504

GCF of denominators i.e. for 640,979,722 is 1.

Thus, LCM of Fractions is 27543504.Finally, LCM of Fractions for 87/640, 842/979, 752/722 is 27543504.