Least Common Multiple of 31/92, 24/25, 946/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/92, 24/25, 946/977 quickly i.e. 351912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/92, 24/25, 946/977 is 351912.

LCM(31/92, 24/25, 946/977) = 351912

LCM of 31/92, 24/25, 946/977

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 31/92,24/25,946/977

Given numbers are 31/92,24/25,946/977

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 31,24,946

Least Common Multiple of Numerators i.e. LCM of 31,24,946 is 351912.

GCF of Denominators means GCF of 92,25,977 as per the given fractions.

GCF of 92,25,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,24,946

LCM of Fractions 31/92,24/25,946/977 is 351912

2 31, 24, 946
31, 12, 473

∴ So the LCM of the given numbers is 2 x 31 x 12 x 473 = 351912

Least Common Multiple of 31,24,946 with GCF Formula

Least Common Multiple of 31,24,946 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 31,24,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,24,946) = 1

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

GCF(31,24,946) x common factors =1 x 2 = 2

LCM(31,24,946) = ( 31 × 24 × 946 ) / 2

LCM(31,24,946) = 703824 / 2

LCM(31,24,946) = 351912


Lets's calculate GCF of 92,25,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 351912/1

Therefore the LCM of Fractions 31/92,24/25,946/977 is 351912

Greatest Common Factor of 92,25,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,25,977 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 977

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

1,977

Greatest Common Factor

We found the factors 92,25,977 . The biggest common factor number is the GCF number.
So the greatest common factor 92,25,977 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 31/92, 24/25, 946/977

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 31/92, 24/25, 946/977?

Answer: LCM of Numerators as per given numbers 31/92, 24/25, 946/977 is

LCM of Numerators i.e. for 31,24,946 is 351912

GCF of denominators i.e. for 92,25,977 is 1.

Thus, LCM of Fractions is 351912.Finally, LCM of Fractions for 31/92, 24/25, 946/977 is 351912.