Least Common Multiple of 8452/904, 2918/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8452/904, 2918/861 quickly i.e. 12331468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8452/904, 2918/861 is 12331468.

LCM(8452/904, 2918/861) = 12331468

LCM of 8452/904, 2918/861

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 8452/904,2918/861

Given numbers are 8452/904,2918/861

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 8452,2918

Least Common Multiple of Numerators i.e. LCM of 8452,2918 is 12331468.

GCF of Denominators means GCF of 904,861 as per the given fractions.

GCF of 904,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8452,2918

LCM of Fractions 8452/904,2918/861 is 12331468

2 8452, 2918
4226, 1459

∴ So the LCM of the given numbers is 2 x 4226 x 1459 = 12331468

Least Common Multiple of 8452,2918 with GCF Formula

Least Common Multiple of 8452,2918 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 8452,2918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8452,2918) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(8452,2918) x common factors =2 x 1 = 2

LCM(8452,2918) = ( 8452 × 2918 ) / 2

LCM(8452,2918) = 24662936 / 2

LCM(8452,2918) = 12331468


Lets's calculate GCF of 904,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12331468/1

Therefore the LCM of Fractions 8452/904,2918/861 is 12331468

Greatest Common Factor of 904,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,861 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 904,861 . The biggest common factor number is the GCF number.
So the greatest common factor 904,861 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8452/904, 2918/861

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 8452/904, 2918/861?

Answer: LCM of Numerators as per given numbers 8452/904, 2918/861 is

LCM of Numerators i.e. for 8452,2918 is 12331468

GCF of denominators i.e. for 904,861 is 1.

Thus, LCM of Fractions is 12331468.Finally, LCM of Fractions for 8452/904, 2918/861 is 12331468.