Least Common Multiple of 965/491, 288/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 965/491, 288/979 quickly i.e. 277920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 965/491, 288/979 is 277920.

LCM(965/491, 288/979) = 277920

LCM of 965/491, 288/979

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 965/491,288/979

Given numbers are 965/491,288/979

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 965,288

Least Common Multiple of Numerators i.e. LCM of 965,288 is 277920.

GCF of Denominators means GCF of 491,979 as per the given fractions.

GCF of 491,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 965,288

LCM of Fractions 965/491,288/979 is 277920

Given numbers has no common factors except 1. So, there LCM is their product i.e 277920

Least Common Multiple of 965,288 with GCF Formula

Least Common Multiple of 965,288 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 965,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,288) = 1

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

GCF(965,288) x common factors =1 x 1 = 1

LCM(965,288) = ( 965 × 288 ) / 1

LCM(965,288) = 277920 / 1

LCM(965,288) = 277920


Lets's calculate GCF of 491,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277920/1

Therefore the LCM of Fractions 965/491,288/979 is 277920

Greatest Common Factor of 491,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,979 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 491,979 . The biggest common factor number is the GCF number.
So the greatest common factor 491,979 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 965/491, 288/979

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 965/491, 288/979?

Answer: LCM of Numerators as per given numbers 965/491, 288/979 is

LCM of Numerators i.e. for 965,288 is 277920

GCF of denominators i.e. for 491,979 is 1.

Thus, LCM of Fractions is 277920.Finally, LCM of Fractions for 965/491, 288/979 is 277920.