Least Common Multiple of 36/48, 96/42, 48/14, 81/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/48, 96/42, 48/14, 81/130 quickly i.e. 1296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/48, 96/42, 48/14, 81/130 is 1296.

LCM(36/48, 96/42, 48/14, 81/130) = 1296

LCM of 36/48, 96/42, 48/14, 81/130

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 36/48,96/42,48/14,81/130

Given numbers are 36/48,96/42,48/14,81/130

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 36,96,48,81

Least Common Multiple of Numerators i.e. LCM of 36,96,48,81 is 2592.

GCF of Denominators means GCF of 48,42,14,130 as per the given fractions.

GCF of 48,42,14,130 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,96,48,81

LCM of Fractions 36/48,96/42,48/14,81/130 is 1296

2 36, 96, 48, 81
2 18, 48, 24, 81
2 9, 12, 24, 81
2 9, 6, 12, 81
3 9, 3, 6, 81
3 1, 3, 2, 27
1, 1, 2, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 1 x 1 x 2 x 9 = 2592

Least Common Multiple of 36,96,48,81 with GCF Formula

Least Common Multiple of 36,96,48,81 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 36,96,48,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,96,48,81) = 3

common factors(in case of two or more numbers have common factors) = 1728

GCF(36,96,48,81) x common factors =3 x 1728 = 5184

LCM(36,96,48,81) = ( 36 × 96 × 48 × 81 ) / 5184

LCM(36,96,48,81) = 13436928 / 5184

LCM(36,96,48,81) = 2592


Lets's calculate GCF of 48,42,14,130

2 48, 42, 14, 130
24, 21, 7, 65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2592/2

Therefore the LCM of Fractions 36/48,96/42,48/14,81/130 is 1296

Greatest Common Factor of 48,42,14,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,42,14,130 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 48,42,14,130 . The biggest common factor number is the GCF number.
So the greatest common factor 48,42,14,130 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 36/48, 96/42, 48/14, 81/130

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 36/48, 96/42, 48/14, 81/130?

Answer: LCM of Numerators as per given numbers 36/48, 96/42, 48/14, 81/130 is

LCM of Numerators i.e. for 36,96,48,81 is 2592

GCF of denominators i.e. for 48,42,14,130 is 2.

Thus, LCM of Fractions is 1296.Finally, LCM of Fractions for 36/48, 96/42, 48/14, 81/130 is 1296.