Least Common Multiple of 31/52, 65/90, 24/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/52, 65/90, 24/931 quickly i.e. 48360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/52, 65/90, 24/931 is 48360.

LCM(31/52, 65/90, 24/931) = 48360

LCM of 31/52, 65/90, 24/931

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 31/52,65/90,24/931

Given numbers are 31/52,65/90,24/931

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 31,65,24

Least Common Multiple of Numerators i.e. LCM of 31,65,24 is 48360.

GCF of Denominators means GCF of 52,90,931 as per the given fractions.

GCF of 52,90,931 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,65,24

LCM of Fractions 31/52,65/90,24/931 is 48360

Given numbers has no common factors except 1. So, there LCM is their product i.e 48360

Least Common Multiple of 31,65,24 with GCF Formula

Least Common Multiple of 31,65,24 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 31,65,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,65,24) = 1

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

GCF(31,65,24) x common factors =1 x 1 = 1

LCM(31,65,24) = ( 31 × 65 × 24 ) / 1

LCM(31,65,24) = 48360 / 1

LCM(31,65,24) = 48360


Lets's calculate GCF of 52,90,931

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48360/1

Therefore the LCM of Fractions 31/52,65/90,24/931 is 48360

Greatest Common Factor of 52,90,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,90,931 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors 52,90,931 . The biggest common factor number is the GCF number.
So the greatest common factor 52,90,931 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 31/52, 65/90, 24/931

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 31/52, 65/90, 24/931?

Answer: LCM of Numerators as per given numbers 31/52, 65/90, 24/931 is

LCM of Numerators i.e. for 31,65,24 is 48360

GCF of denominators i.e. for 52,90,931 is 1.

Thus, LCM of Fractions is 48360.Finally, LCM of Fractions for 31/52, 65/90, 24/931 is 48360.