Least Common Multiple of 53/26, 824/56, 918/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/26, 824/56, 918/696 quickly i.e. 10022724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/26, 824/56, 918/696 is 10022724.

LCM(53/26, 824/56, 918/696) = 10022724

LCM of 53/26, 824/56, 918/696

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 53/26,824/56,918/696

Given numbers are 53/26,824/56,918/696

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 53,824,918

Least Common Multiple of Numerators i.e. LCM of 53,824,918 is 20045448.

GCF of Denominators means GCF of 26,56,696 as per the given fractions.

GCF of 26,56,696 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,824,918

LCM of Fractions 53/26,824/56,918/696 is 10022724

2 53, 824, 918
53, 412, 459

∴ So the LCM of the given numbers is 2 x 53 x 412 x 459 = 20045448

Least Common Multiple of 53,824,918 with GCF Formula

Least Common Multiple of 53,824,918 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 53,824,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,824,918) = 1

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

GCF(53,824,918) x common factors =1 x 2 = 2

LCM(53,824,918) = ( 53 × 824 × 918 ) / 2

LCM(53,824,918) = 40090896 / 2

LCM(53,824,918) = 20045448


Lets's calculate GCF of 26,56,696

2 26, 56, 696
13, 28, 348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20045448/2

Therefore the LCM of Fractions 53/26,824/56,918/696 is 10022724

Greatest Common Factor of 26,56,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,56,696 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 26,56,696 . The biggest common factor number is the GCF number.
So the greatest common factor 26,56,696 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 53/26, 824/56, 918/696

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 53/26, 824/56, 918/696?

Answer: LCM of Numerators as per given numbers 53/26, 824/56, 918/696 is

LCM of Numerators i.e. for 53,824,918 is 20045448

GCF of denominators i.e. for 26,56,696 is 2.

Thus, LCM of Fractions is 10022724.Finally, LCM of Fractions for 53/26, 824/56, 918/696 is 10022724.