Least Common Multiple of 53/63, 26/72, 636/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/63, 26/72, 636/413 quickly i.e. 8268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/63, 26/72, 636/413 is 8268.

LCM(53/63, 26/72, 636/413) = 8268

LCM of 53/63, 26/72, 636/413

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 53/63,26/72,636/413

Given numbers are 53/63,26/72,636/413

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 53,26,636

Least Common Multiple of Numerators i.e. LCM of 53,26,636 is 8268.

GCF of Denominators means GCF of 63,72,413 as per the given fractions.

GCF of 63,72,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,26,636

LCM of Fractions 53/63,26/72,636/413 is 8268

2 53, 26, 636
53 53, 13, 318
1, 13, 6

∴ So the LCM of the given numbers is 2 x 53 x 1 x 13 x 6 = 8268

Least Common Multiple of 53,26,636 with GCF Formula

Least Common Multiple of 53,26,636 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 53,26,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,26,636) = 1

common factors(in case of two or more numbers have common factors) = 106

GCF(53,26,636) x common factors =1 x 106 = 106

LCM(53,26,636) = ( 53 × 26 × 636 ) / 106

LCM(53,26,636) = 876408 / 106

LCM(53,26,636) = 8268


Lets's calculate GCF of 63,72,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8268/1

Therefore the LCM of Fractions 53/63,26/72,636/413 is 8268

Greatest Common Factor of 63,72,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,72,413 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 63,72,413 . The biggest common factor number is the GCF number.
So the greatest common factor 63,72,413 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/63, 26/72, 636/413

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 53/63, 26/72, 636/413?

Answer: LCM of Numerators as per given numbers 53/63, 26/72, 636/413 is

LCM of Numerators i.e. for 53,26,636 is 8268

GCF of denominators i.e. for 63,72,413 is 1.

Thus, LCM of Fractions is 8268.Finally, LCM of Fractions for 53/63, 26/72, 636/413 is 8268.