Least Common Multiple of 5315/220, 7484/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5315/220, 7484/477 quickly i.e. 39777460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5315/220, 7484/477 is 39777460.

LCM(5315/220, 7484/477) = 39777460

LCM of 5315/220, 7484/477

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 5315/220,7484/477

Given numbers are 5315/220,7484/477

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 5315,7484

Least Common Multiple of Numerators i.e. LCM of 5315,7484 is 39777460.

GCF of Denominators means GCF of 220,477 as per the given fractions.

GCF of 220,477 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5315,7484

LCM of Fractions 5315/220,7484/477 is 39777460

Given numbers has no common factors except 1. So, there LCM is their product i.e 39777460

Least Common Multiple of 5315,7484 with GCF Formula

Least Common Multiple of 5315,7484 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 5315,7484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5315,7484) = 1

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

GCF(5315,7484) x common factors =1 x 1 = 1

LCM(5315,7484) = ( 5315 × 7484 ) / 1

LCM(5315,7484) = 39777460 / 1

LCM(5315,7484) = 39777460


Lets's calculate GCF of 220,477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39777460/1

Therefore the LCM of Fractions 5315/220,7484/477 is 39777460

Greatest Common Factor of 220,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,477 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 220,477 . The biggest common factor number is the GCF number.
So the greatest common factor 220,477 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5315/220, 7484/477

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 5315/220, 7484/477?

Answer: LCM of Numerators as per given numbers 5315/220, 7484/477 is

LCM of Numerators i.e. for 5315,7484 is 39777460

GCF of denominators i.e. for 220,477 is 1.

Thus, LCM of Fractions is 39777460.Finally, LCM of Fractions for 5315/220, 7484/477 is 39777460.