Least Common Multiple of 91/476, 53/916, 520/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/476, 53/916, 520/260 quickly i.e. 48230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/476, 53/916, 520/260 is 48230.

LCM(91/476, 53/916, 520/260) = 48230

LCM of 91/476, 53/916, 520/260

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 91/476,53/916,520/260

Given numbers are 91/476,53/916,520/260

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 91,53,520

Least Common Multiple of Numerators i.e. LCM of 91,53,520 is 192920.

GCF of Denominators means GCF of 476,916,260 as per the given fractions.

GCF of 476,916,260 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,53,520

LCM of Fractions 91/476,53/916,520/260 is 48230

13 91, 53, 520
7, 53, 40

∴ So the LCM of the given numbers is 13 x 7 x 53 x 40 = 192920

Least Common Multiple of 91,53,520 with GCF Formula

Least Common Multiple of 91,53,520 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 91,53,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,53,520) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(91,53,520) x common factors =1 x 13 = 13

LCM(91,53,520) = ( 91 × 53 × 520 ) / 13

LCM(91,53,520) = 2507960 / 13

LCM(91,53,520) = 192920


Lets's calculate GCF of 476,916,260

2 476, 916, 260
2 238, 458, 130
119, 229, 65

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192920/4

Therefore the LCM of Fractions 91/476,53/916,520/260 is 48230

Greatest Common Factor of 476,916,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,916,260 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 476,916,260 . The biggest common factor number is the GCF number.
So the greatest common factor 476,916,260 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/476, 53/916, 520/260

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 91/476, 53/916, 520/260?

Answer: LCM of Numerators as per given numbers 91/476, 53/916, 520/260 is

LCM of Numerators i.e. for 91,53,520 is 192920

GCF of denominators i.e. for 476,916,260 is 4.

Thus, LCM of Fractions is 48230.Finally, LCM of Fractions for 91/476, 53/916, 520/260 is 48230.