Least Common Multiple of 120/72, 949/29, 157/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/72, 949/29, 157/135 quickly i.e. 17879160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/72, 949/29, 157/135 is 17879160.

LCM(120/72, 949/29, 157/135) = 17879160

LCM of 120/72, 949/29, 157/135

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 120/72,949/29,157/135

Given numbers are 120/72,949/29,157/135

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 120,949,157

Least Common Multiple of Numerators i.e. LCM of 120,949,157 is 17879160.

GCF of Denominators means GCF of 72,29,135 as per the given fractions.

GCF of 72,29,135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,949,157

LCM of Fractions 120/72,949/29,157/135 is 17879160

Given numbers has no common factors except 1. So, there LCM is their product i.e 17879160

Least Common Multiple of 120,949,157 with GCF Formula

Least Common Multiple of 120,949,157 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 120,949,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,949,157) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(120,949,157) x common factors =1 x 1 = 1

LCM(120,949,157) = ( 120 × 949 × 157 ) / 1

LCM(120,949,157) = 17879160 / 1

LCM(120,949,157) = 17879160


Lets's calculate GCF of 72,29,135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17879160/1

Therefore the LCM of Fractions 120/72,949/29,157/135 is 17879160

Greatest Common Factor of 72,29,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,29,135 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 72,29,135 . The biggest common factor number is the GCF number.
So the greatest common factor 72,29,135 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 120/72, 949/29, 157/135

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 120/72, 949/29, 157/135?

Answer: LCM of Numerators as per given numbers 120/72, 949/29, 157/135 is

LCM of Numerators i.e. for 120,949,157 is 17879160

GCF of denominators i.e. for 72,29,135 is 1.

Thus, LCM of Fractions is 17879160.Finally, LCM of Fractions for 120/72, 949/29, 157/135 is 17879160.