Least Common Multiple of 56/91, 90/26, 977/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/91, 90/26, 977/866 quickly i.e. 2462040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/91, 90/26, 977/866 is 2462040.

LCM(56/91, 90/26, 977/866) = 2462040

LCM of 56/91, 90/26, 977/866

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 56/91,90/26,977/866

Given numbers are 56/91,90/26,977/866

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 56,90,977

Least Common Multiple of Numerators i.e. LCM of 56,90,977 is 2462040.

GCF of Denominators means GCF of 91,26,866 as per the given fractions.

GCF of 91,26,866 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,90,977

LCM of Fractions 56/91,90/26,977/866 is 2462040

2 56, 90, 977
28, 45, 977

∴ So the LCM of the given numbers is 2 x 28 x 45 x 977 = 2462040

Least Common Multiple of 56,90,977 with GCF Formula

Least Common Multiple of 56,90,977 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 56,90,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,90,977) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(56,90,977) x common factors =1 x 2 = 2

LCM(56,90,977) = ( 56 × 90 × 977 ) / 2

LCM(56,90,977) = 4924080 / 2

LCM(56,90,977) = 2462040


Lets's calculate GCF of 91,26,866

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2462040/1

Therefore the LCM of Fractions 56/91,90/26,977/866 is 2462040

Greatest Common Factor of 91,26,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,26,866 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 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 91,26,866 . The biggest common factor number is the GCF number.
So the greatest common factor 91,26,866 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/91, 90/26, 977/866

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 56/91, 90/26, 977/866?

Answer: LCM of Numerators as per given numbers 56/91, 90/26, 977/866 is

LCM of Numerators i.e. for 56,90,977 is 2462040

GCF of denominators i.e. for 91,26,866 is 1.

Thus, LCM of Fractions is 2462040.Finally, LCM of Fractions for 56/91, 90/26, 977/866 is 2462040.