Least Common Multiple of 53/80, 22/18, 72/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/80, 22/18, 72/358 quickly i.e. 20988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/80, 22/18, 72/358 is 20988.

LCM(53/80, 22/18, 72/358) = 20988

LCM of 53/80, 22/18, 72/358

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 53/80,22/18,72/358

Given numbers are 53/80,22/18,72/358

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 53,22,72

Least Common Multiple of Numerators i.e. LCM of 53,22,72 is 41976.

GCF of Denominators means GCF of 80,18,358 as per the given fractions.

GCF of 80,18,358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,22,72

LCM of Fractions 53/80,22/18,72/358 is 20988

2 53, 22, 72
53, 11, 36

∴ So the LCM of the given numbers is 2 x 53 x 11 x 36 = 41976

Least Common Multiple of 53,22,72 with GCF Formula

Least Common Multiple of 53,22,72 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 53,22,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,22,72) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,22,72) x common factors =1 x 2 = 2

LCM(53,22,72) = ( 53 × 22 × 72 ) / 2

LCM(53,22,72) = 83952 / 2

LCM(53,22,72) = 41976


Lets's calculate GCF of 80,18,358

2 80, 18, 358
40, 9, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41976/2

Therefore the LCM of Fractions 53/80,22/18,72/358 is 20988

Greatest Common Factor of 80,18,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,18,358 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 80,18,358 . The biggest common factor number is the GCF number.
So the greatest common factor 80,18,358 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 53/80, 22/18, 72/358

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 53/80, 22/18, 72/358?

Answer: LCM of Numerators as per given numbers 53/80, 22/18, 72/358 is

LCM of Numerators i.e. for 53,22,72 is 41976

GCF of denominators i.e. for 80,18,358 is 2.

Thus, LCM of Fractions is 20988.Finally, LCM of Fractions for 53/80, 22/18, 72/358 is 20988.