Least Common Multiple of 13/63, 69/22, 76/52, 91/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/63, 69/22, 76/52, 91/868 quickly i.e. 477204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/63, 69/22, 76/52, 91/868 is 477204.

LCM(13/63, 69/22, 76/52, 91/868) = 477204

LCM of 13/63, 69/22, 76/52, 91/868

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 13/63,69/22,76/52,91/868

Given numbers are 13/63,69/22,76/52,91/868

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 13,69,76,91

Least Common Multiple of Numerators i.e. LCM of 13,69,76,91 is 477204.

GCF of Denominators means GCF of 63,22,52,868 as per the given fractions.

GCF of 63,22,52,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,69,76,91

LCM of Fractions 13/63,69/22,76/52,91/868 is 477204

13 13, 69, 76, 91
1, 69, 76, 7

∴ So the LCM of the given numbers is 13 x 1 x 69 x 76 x 7 = 477204

Least Common Multiple of 13,69,76,91 with GCF Formula

Least Common Multiple of 13,69,76,91 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 13,69,76,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,69,76,91) = 1

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

GCF(13,69,76,91) x common factors =1 x 13 = 13

LCM(13,69,76,91) = ( 13 × 69 × 76 × 91 ) / 13

LCM(13,69,76,91) = 6203652 / 13

LCM(13,69,76,91) = 477204


Lets's calculate GCF of 63,22,52,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 477204/1

Therefore the LCM of Fractions 13/63,69/22,76/52,91/868 is 477204

Greatest Common Factor of 63,22,52,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,22,52,868 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 63,22,52,868 . The biggest common factor number is the GCF number.
So the greatest common factor 63,22,52,868 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/63, 69/22, 76/52, 91/868

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 13/63, 69/22, 76/52, 91/868?

Answer: LCM of Numerators as per given numbers 13/63, 69/22, 76/52, 91/868 is

LCM of Numerators i.e. for 13,69,76,91 is 477204

GCF of denominators i.e. for 63,22,52,868 is 1.

Thus, LCM of Fractions is 477204.Finally, LCM of Fractions for 13/63, 69/22, 76/52, 91/868 is 477204.