Least Common Multiple of 45/72, 32/49, 78/28, 32/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/72, 32/49, 78/28, 32/13 quickly i.e. 18720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/72, 32/49, 78/28, 32/13 is 18720.

LCM(45/72, 32/49, 78/28, 32/13) = 18720

LCM of 45/72, 32/49, 78/28, 32/13

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 45/72,32/49,78/28,32/13

Given numbers are 45/72,32/49,78/28,32/13

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 45,32,78,32

Least Common Multiple of Numerators i.e. LCM of 45,32,78,32 is 18720.

GCF of Denominators means GCF of 72,49,28,13 as per the given fractions.

GCF of 72,49,28,13 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,32,78,32

LCM of Fractions 45/72,32/49,78/28,32/13 is 18720

2 45, 32, 78, 32
2 45, 16, 39, 16
2 45, 8, 39, 8
2 45, 4, 39, 4
2 45, 2, 39, 2
3 45, 1, 39, 1
15, 1, 13, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 15 x 1 x 13 x 1 = 18720

Least Common Multiple of 45,32,78,32 with GCF Formula

Least Common Multiple of 45,32,78,32 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 45,32,78,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,32,78,32) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(45,32,78,32) x common factors =1 x 192 = 192

LCM(45,32,78,32) = ( 45 × 32 × 78 × 32 ) / 192

LCM(45,32,78,32) = 3594240 / 192

LCM(45,32,78,32) = 18720


Lets's calculate GCF of 72,49,28,13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18720/1

Therefore the LCM of Fractions 45/72,32/49,78/28,32/13 is 18720

Greatest Common Factor of 72,49,28,13 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,49,28,13 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Greatest Common Factor

We found the factors 72,49,28,13 . The biggest common factor number is the GCF number.
So the greatest common factor 72,49,28,13 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 45/72, 32/49, 78/28, 32/13

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 45/72, 32/49, 78/28, 32/13?

Answer: LCM of Numerators as per given numbers 45/72, 32/49, 78/28, 32/13 is

LCM of Numerators i.e. for 45,32,78,32 is 18720

GCF of denominators i.e. for 72,49,28,13 is 1.

Thus, LCM of Fractions is 18720.Finally, LCM of Fractions for 45/72, 32/49, 78/28, 32/13 is 18720.