Least Common Multiple of 972/91, 977/7862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 972/91, 977/7862 quickly i.e. 949644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/91, 977/7862 is 949644.

LCM(972/91, 977/7862) = 949644

LCM of 972/91, 977/7862

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 972/91,977/7862

Given numbers are 972/91,977/7862

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 972,977

Least Common Multiple of Numerators i.e. LCM of 972,977 is 949644.

GCF of Denominators means GCF of 91,7862 as per the given fractions.

GCF of 91,7862 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,977

LCM of Fractions 972/91,977/7862 is 949644

Given numbers has no common factors except 1. So, there LCM is their product i.e 949644

Least Common Multiple of 972,977 with GCF Formula

Least Common Multiple of 972,977 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 972,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,977) = 1

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

GCF(972,977) x common factors =1 x 1 = 1

LCM(972,977) = ( 972 × 977 ) / 1

LCM(972,977) = 949644 / 1

LCM(972,977) = 949644


Lets's calculate GCF of 91,7862

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 949644/1

Therefore the LCM of Fractions 972/91,977/7862 is 949644

Greatest Common Factor of 91,7862 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,7862 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 7862

List of positive integer factors of 7862 that divides 7862 without a remainder.

1,2,3931,7862

Greatest Common Factor

We found the factors 91,7862 . The biggest common factor number is the GCF number.
So the greatest common factor 91,7862 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 972/91, 977/7862

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 972/91, 977/7862?

Answer: LCM of Numerators as per given numbers 972/91, 977/7862 is

LCM of Numerators i.e. for 972,977 is 949644

GCF of denominators i.e. for 91,7862 is 1.

Thus, LCM of Fractions is 949644.Finally, LCM of Fractions for 972/91, 977/7862 is 949644.