Least Common Multiple of 6979/310, 1272/9753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6979/310, 1272/9753 quickly i.e. 8877288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6979/310, 1272/9753 is 8877288.

LCM(6979/310, 1272/9753) = 8877288

LCM of 6979/310, 1272/9753

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 6979/310,1272/9753

Given numbers are 6979/310,1272/9753

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 6979,1272

Least Common Multiple of Numerators i.e. LCM of 6979,1272 is 8877288.

GCF of Denominators means GCF of 310,9753 as per the given fractions.

GCF of 310,9753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6979,1272

LCM of Fractions 6979/310,1272/9753 is 8877288

Given numbers has no common factors except 1. So, there LCM is their product i.e 8877288

Least Common Multiple of 6979,1272 with GCF Formula

Least Common Multiple of 6979,1272 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 6979,1272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6979,1272) = 1

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

GCF(6979,1272) x common factors =1 x 1 = 1

LCM(6979,1272) = ( 6979 × 1272 ) / 1

LCM(6979,1272) = 8877288 / 1

LCM(6979,1272) = 8877288


Lets's calculate GCF of 310,9753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8877288/1

Therefore the LCM of Fractions 6979/310,1272/9753 is 8877288

Greatest Common Factor of 310,9753 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,9753 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 9753

List of positive integer factors of 9753 that divides 9753 without a remainder.

1,3,3251,9753

Greatest Common Factor

We found the factors 310,9753 . The biggest common factor number is the GCF number.
So the greatest common factor 310,9753 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6979/310, 1272/9753

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 6979/310, 1272/9753?

Answer: LCM of Numerators as per given numbers 6979/310, 1272/9753 is

LCM of Numerators i.e. for 6979,1272 is 8877288

GCF of denominators i.e. for 310,9753 is 1.

Thus, LCM of Fractions is 8877288.Finally, LCM of Fractions for 6979/310, 1272/9753 is 8877288.