Least Common Multiple of 21/12, 21/39, 46/92, 51/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/12, 21/39, 46/92, 51/10 quickly i.e. 16422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/12, 21/39, 46/92, 51/10 is 16422.

LCM(21/12, 21/39, 46/92, 51/10) = 16422

LCM of 21/12, 21/39, 46/92, 51/10

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 21/12,21/39,46/92,51/10

Given numbers are 21/12,21/39,46/92,51/10

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 21,21,46,51

Least Common Multiple of Numerators i.e. LCM of 21,21,46,51 is 16422.

GCF of Denominators means GCF of 12,39,92,10 as per the given fractions.

GCF of 12,39,92,10 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,21,46,51

LCM of Fractions 21/12,21/39,46/92,51/10 is 16422

3 21, 21, 46, 51
7 7, 7, 46, 17
1, 1, 46, 17

∴ So the LCM of the given numbers is 3 x 7 x 1 x 1 x 46 x 17 = 16422

Least Common Multiple of 21,21,46,51 with GCF Formula

Least Common Multiple of 21,21,46,51 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 21,21,46,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,21,46,51) = 1

common factors(in case of two or more numbers have common factors) = 63

GCF(21,21,46,51) x common factors =1 x 63 = 63

LCM(21,21,46,51) = ( 21 × 21 × 46 × 51 ) / 63

LCM(21,21,46,51) = 1034586 / 63

LCM(21,21,46,51) = 16422


Lets's calculate GCF of 12,39,92,10

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16422/1

Therefore the LCM of Fractions 21/12,21/39,46/92,51/10 is 16422

Greatest Common Factor of 12,39,92,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,39,92,10 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 92

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

1,2,4,23,46,92

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 12,39,92,10 . The biggest common factor number is the GCF number.
So the greatest common factor 12,39,92,10 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 21/12, 21/39, 46/92, 51/10

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 21/12, 21/39, 46/92, 51/10?

Answer: LCM of Numerators as per given numbers 21/12, 21/39, 46/92, 51/10 is

LCM of Numerators i.e. for 21,21,46,51 is 16422

GCF of denominators i.e. for 12,39,92,10 is 1.

Thus, LCM of Fractions is 16422.Finally, LCM of Fractions for 21/12, 21/39, 46/92, 51/10 is 16422.