Least Common Multiple of 23/977, 91/659, 239/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/977, 91/659, 239/846 quickly i.e. 500227 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/977, 91/659, 239/846 is 500227.

LCM(23/977, 91/659, 239/846) = 500227

LCM of 23/977, 91/659, 239/846

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 23/977,91/659,239/846

Given numbers are 23/977,91/659,239/846

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 23,91,239

Least Common Multiple of Numerators i.e. LCM of 23,91,239 is 500227.

GCF of Denominators means GCF of 977,659,846 as per the given fractions.

GCF of 977,659,846 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,91,239

LCM of Fractions 23/977,91/659,239/846 is 500227

Given numbers has no common factors except 1. So, there LCM is their product i.e 500227

Least Common Multiple of 23,91,239 with GCF Formula

Least Common Multiple of 23,91,239 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 23,91,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,91,239) = 1

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

GCF(23,91,239) x common factors =1 x 1 = 1

LCM(23,91,239) = ( 23 × 91 × 239 ) / 1

LCM(23,91,239) = 500227 / 1

LCM(23,91,239) = 500227


Lets's calculate GCF of 977,659,846

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 500227/1

Therefore the LCM of Fractions 23/977,91/659,239/846 is 500227

Greatest Common Factor of 977,659,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,659,846 By Matching Biggest Common Factor Method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 977,659,846 . The biggest common factor number is the GCF number.
So the greatest common factor 977,659,846 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/977, 91/659, 239/846

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 23/977, 91/659, 239/846?

Answer: LCM of Numerators as per given numbers 23/977, 91/659, 239/846 is

LCM of Numerators i.e. for 23,91,239 is 500227

GCF of denominators i.e. for 977,659,846 is 1.

Thus, LCM of Fractions is 500227.Finally, LCM of Fractions for 23/977, 91/659, 239/846 is 500227.