Least Common Multiple of 52/130, 32/324, 979/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/130, 32/324, 979/891 quickly i.e. 407264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/130, 32/324, 979/891 is 407264.

LCM(52/130, 32/324, 979/891) = 407264

LCM of 52/130, 32/324, 979/891

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 52/130,32/324,979/891

Given numbers are 52/130,32/324,979/891

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 52,32,979

Least Common Multiple of Numerators i.e. LCM of 52,32,979 is 407264.

GCF of Denominators means GCF of 130,324,891 as per the given fractions.

GCF of 130,324,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,32,979

LCM of Fractions 52/130,32/324,979/891 is 407264

2 52, 32, 979
2 26, 16, 979
13, 8, 979

∴ So the LCM of the given numbers is 2 x 2 x 13 x 8 x 979 = 407264

Least Common Multiple of 52,32,979 with GCF Formula

Least Common Multiple of 52,32,979 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 52,32,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,32,979) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,32,979) x common factors =1 x 4 = 4

LCM(52,32,979) = ( 52 × 32 × 979 ) / 4

LCM(52,32,979) = 1629056 / 4

LCM(52,32,979) = 407264


Lets's calculate GCF of 130,324,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 407264/1

Therefore the LCM of Fractions 52/130,32/324,979/891 is 407264

Greatest Common Factor of 130,324,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,324,891 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 130,324,891 . The biggest common factor number is the GCF number.
So the greatest common factor 130,324,891 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 52/130, 32/324, 979/891

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 52/130, 32/324, 979/891?

Answer: LCM of Numerators as per given numbers 52/130, 32/324, 979/891 is

LCM of Numerators i.e. for 52,32,979 is 407264

GCF of denominators i.e. for 130,324,891 is 1.

Thus, LCM of Fractions is 407264.Finally, LCM of Fractions for 52/130, 32/324, 979/891 is 407264.