Least Common Multiple of 5737/916, 2252/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5737/916, 2252/502 quickly i.e. 6459862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5737/916, 2252/502 is 6459862.

LCM(5737/916, 2252/502) = 6459862

LCM of 5737/916, 2252/502

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 5737/916,2252/502

Given numbers are 5737/916,2252/502

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 5737,2252

Least Common Multiple of Numerators i.e. LCM of 5737,2252 is 12919724.

GCF of Denominators means GCF of 916,502 as per the given fractions.

GCF of 916,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5737,2252

LCM of Fractions 5737/916,2252/502 is 6459862

Given numbers has no common factors except 1. So, there LCM is their product i.e 12919724

Least Common Multiple of 5737,2252 with GCF Formula

Least Common Multiple of 5737,2252 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 5737,2252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5737,2252) = 1

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

GCF(5737,2252) x common factors =1 x 1 = 1

LCM(5737,2252) = ( 5737 × 2252 ) / 1

LCM(5737,2252) = 12919724 / 1

LCM(5737,2252) = 12919724


Lets's calculate GCF of 916,502

2 916, 502
458, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12919724/2

Therefore the LCM of Fractions 5737/916,2252/502 is 6459862

Greatest Common Factor of 916,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,502 By Matching Biggest Common Factor Method

Factors of 916

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

1,2,4,229,458,916

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 916,502 . The biggest common factor number is the GCF number.
So the greatest common factor 916,502 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5737/916, 2252/502

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 5737/916, 2252/502?

Answer: LCM of Numerators as per given numbers 5737/916, 2252/502 is

LCM of Numerators i.e. for 5737,2252 is 12919724

GCF of denominators i.e. for 916,502 is 2.

Thus, LCM of Fractions is 6459862.Finally, LCM of Fractions for 5737/916, 2252/502 is 6459862.