Least Common Multiple of 72/20, 50/75, 70/15, 78/29

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/20, 50/75, 70/15, 78/29 quickly i.e. 163800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/20, 50/75, 70/15, 78/29 is 163800.

LCM(72/20, 50/75, 70/15, 78/29) = 163800

LCM of 72/20, 50/75, 70/15, 78/29

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 72/20,50/75,70/15,78/29

Given numbers are 72/20,50/75,70/15,78/29

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 72,50,70,78

Least Common Multiple of Numerators i.e. LCM of 72,50,70,78 is 163800.

GCF of Denominators means GCF of 20,75,15,29 as per the given fractions.

GCF of 20,75,15,29 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,50,70,78

LCM of Fractions 72/20,50/75,70/15,78/29 is 163800

2 72, 50, 70, 78
3 36, 25, 35, 39
5 12, 25, 35, 13
12, 5, 7, 13

∴ So the LCM of the given numbers is 2 x 3 x 5 x 12 x 5 x 7 x 13 = 163800

Least Common Multiple of 72,50,70,78 with GCF Formula

Least Common Multiple of 72,50,70,78 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 72,50,70,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,50,70,78) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(72,50,70,78) x common factors =2 x 60 = 120

LCM(72,50,70,78) = ( 72 × 50 × 70 × 78 ) / 120

LCM(72,50,70,78) = 19656000 / 120

LCM(72,50,70,78) = 163800


Lets's calculate GCF of 20,75,15,29

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163800/1

Therefore the LCM of Fractions 72/20,50/75,70/15,78/29 is 163800

Greatest Common Factor of 20,75,15,29 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,75,15,29 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 29

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

1,29

Greatest Common Factor

We found the factors 20,75,15,29 . The biggest common factor number is the GCF number.
So the greatest common factor 20,75,15,29 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 72/20, 50/75, 70/15, 78/29

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 72/20, 50/75, 70/15, 78/29?

Answer: LCM of Numerators as per given numbers 72/20, 50/75, 70/15, 78/29 is

LCM of Numerators i.e. for 72,50,70,78 is 163800

GCF of denominators i.e. for 20,75,15,29 is 1.

Thus, LCM of Fractions is 163800.Finally, LCM of Fractions for 72/20, 50/75, 70/15, 78/29 is 163800.