Least Common Multiple of 6/21, 31/500, 12/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/21, 31/500, 12/506 quickly i.e. 372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/21, 31/500, 12/506 is 372.

LCM(6/21, 31/500, 12/506) = 372

LCM of 6/21, 31/500, 12/506

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 6/21,31/500,12/506

Given numbers are 6/21,31/500,12/506

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 6,31,12

Least Common Multiple of Numerators i.e. LCM of 6,31,12 is 372.

GCF of Denominators means GCF of 21,500,506 as per the given fractions.

GCF of 21,500,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,31,12

LCM of Fractions 6/21,31/500,12/506 is 372

2 6, 31, 12
3 3, 31, 6
1, 31, 2

∴ So the LCM of the given numbers is 2 x 3 x 1 x 31 x 2 = 372

Least Common Multiple of 6,31,12 with GCF Formula

Least Common Multiple of 6,31,12 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 6,31,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,31,12) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(6,31,12) x common factors =1 x 6 = 6

LCM(6,31,12) = ( 6 × 31 × 12 ) / 6

LCM(6,31,12) = 2232 / 6

LCM(6,31,12) = 372


Lets's calculate GCF of 21,500,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 372/1

Therefore the LCM of Fractions 6/21,31/500,12/506 is 372

Greatest Common Factor of 21,500,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,500,506 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 21,500,506 . The biggest common factor number is the GCF number.
So the greatest common factor 21,500,506 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 6/21, 31/500, 12/506

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 6/21, 31/500, 12/506?

Answer: LCM of Numerators as per given numbers 6/21, 31/500, 12/506 is

LCM of Numerators i.e. for 6,31,12 is 372

GCF of denominators i.e. for 21,500,506 is 1.

Thus, LCM of Fractions is 372.Finally, LCM of Fractions for 6/21, 31/500, 12/506 is 372.