Least Common Multiple of 7311/264, 2080/2413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7311/264, 2080/2413 quickly i.e. 15206880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7311/264, 2080/2413 is 15206880.

LCM(7311/264, 2080/2413) = 15206880

LCM of 7311/264, 2080/2413

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 7311/264,2080/2413

Given numbers are 7311/264,2080/2413

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 7311,2080

Least Common Multiple of Numerators i.e. LCM of 7311,2080 is 15206880.

GCF of Denominators means GCF of 264,2413 as per the given fractions.

GCF of 264,2413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7311,2080

LCM of Fractions 7311/264,2080/2413 is 15206880

Given numbers has no common factors except 1. So, there LCM is their product i.e 15206880

Least Common Multiple of 7311,2080 with GCF Formula

Least Common Multiple of 7311,2080 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 7311,2080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7311,2080) = 1

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

GCF(7311,2080) x common factors =1 x 1 = 1

LCM(7311,2080) = ( 7311 × 2080 ) / 1

LCM(7311,2080) = 15206880 / 1

LCM(7311,2080) = 15206880


Lets's calculate GCF of 264,2413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15206880/1

Therefore the LCM of Fractions 7311/264,2080/2413 is 15206880

Greatest Common Factor of 264,2413 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,2413 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 2413

List of positive integer factors of 2413 that divides 2413 without a remainder.

1,19,127,2413

Greatest Common Factor

We found the factors 264,2413 . The biggest common factor number is the GCF number.
So the greatest common factor 264,2413 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7311/264, 2080/2413

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 7311/264, 2080/2413?

Answer: LCM of Numerators as per given numbers 7311/264, 2080/2413 is

LCM of Numerators i.e. for 7311,2080 is 15206880

GCF of denominators i.e. for 264,2413 is 1.

Thus, LCM of Fractions is 15206880.Finally, LCM of Fractions for 7311/264, 2080/2413 is 15206880.