Least Common Multiple of 12/20, 363/60, 879/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/20, 363/60, 879/716 quickly i.e. 106359 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/20, 363/60, 879/716 is 106359.

LCM(12/20, 363/60, 879/716) = 106359

LCM of 12/20, 363/60, 879/716

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 12/20,363/60,879/716

Given numbers are 12/20,363/60,879/716

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 12,363,879

Least Common Multiple of Numerators i.e. LCM of 12,363,879 is 425436.

GCF of Denominators means GCF of 20,60,716 as per the given fractions.

GCF of 20,60,716 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,363,879

LCM of Fractions 12/20,363/60,879/716 is 106359

3 12, 363, 879
4, 121, 293

∴ So the LCM of the given numbers is 3 x 4 x 121 x 293 = 425436

Least Common Multiple of 12,363,879 with GCF Formula

Least Common Multiple of 12,363,879 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 12,363,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,363,879) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(12,363,879) x common factors =3 x 3 = 9

LCM(12,363,879) = ( 12 × 363 × 879 ) / 9

LCM(12,363,879) = 3828924 / 9

LCM(12,363,879) = 425436


Lets's calculate GCF of 20,60,716

2 20, 60, 716
2 10, 30, 358
5, 15, 179

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 425436/4

Therefore the LCM of Fractions 12/20,363/60,879/716 is 106359

Greatest Common Factor of 20,60,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,60,716 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 20,60,716 . The biggest common factor number is the GCF number.
So the greatest common factor 20,60,716 is 4.


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 12/20, 363/60, 879/716

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 12/20, 363/60, 879/716?

Answer: LCM of Numerators as per given numbers 12/20, 363/60, 879/716 is

LCM of Numerators i.e. for 12,363,879 is 425436

GCF of denominators i.e. for 20,60,716 is 4.

Thus, LCM of Fractions is 106359.Finally, LCM of Fractions for 12/20, 363/60, 879/716 is 106359.