Least Common Multiple of 36/20, 57/88, 72/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/20, 57/88, 72/406 quickly i.e. 684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/20, 57/88, 72/406 is 684.

LCM(36/20, 57/88, 72/406) = 684

LCM of 36/20, 57/88, 72/406

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 36/20,57/88,72/406

Given numbers are 36/20,57/88,72/406

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 36,57,72

Least Common Multiple of Numerators i.e. LCM of 36,57,72 is 1368.

GCF of Denominators means GCF of 20,88,406 as per the given fractions.

GCF of 20,88,406 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,57,72

LCM of Fractions 36/20,57/88,72/406 is 684

2 36, 57, 72
2 18, 57, 36
3 9, 57, 18
3 3, 19, 6
1, 19, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 19 x 2 = 1368

Least Common Multiple of 36,57,72 with GCF Formula

Least Common Multiple of 36,57,72 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 36,57,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,57,72) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(36,57,72) x common factors =3 x 36 = 108

LCM(36,57,72) = ( 36 × 57 × 72 ) / 108

LCM(36,57,72) = 147744 / 108

LCM(36,57,72) = 1368


Lets's calculate GCF of 20,88,406

2 20, 88, 406
10, 44, 203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1368/2

Therefore the LCM of Fractions 36/20,57/88,72/406 is 684

Greatest Common Factor of 20,88,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,88,406 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 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 20,88,406 . The biggest common factor number is the GCF number.
So the greatest common factor 20,88,406 is 2.


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 36/20, 57/88, 72/406

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 36/20, 57/88, 72/406?

Answer: LCM of Numerators as per given numbers 36/20, 57/88, 72/406 is

LCM of Numerators i.e. for 36,57,72 is 1368

GCF of denominators i.e. for 20,88,406 is 2.

Thus, LCM of Fractions is 684.Finally, LCM of Fractions for 36/20, 57/88, 72/406 is 684.