Least Common Multiple of 22/72, 32/766, 255/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/72, 32/766, 255/269 quickly i.e. 89760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/72, 32/766, 255/269 is 89760.

LCM(22/72, 32/766, 255/269) = 89760

LCM of 22/72, 32/766, 255/269

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 22/72,32/766,255/269

Given numbers are 22/72,32/766,255/269

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 22,32,255

Least Common Multiple of Numerators i.e. LCM of 22,32,255 is 89760.

GCF of Denominators means GCF of 72,766,269 as per the given fractions.

GCF of 72,766,269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,32,255

LCM of Fractions 22/72,32/766,255/269 is 89760

2 22, 32, 255
11, 16, 255

∴ So the LCM of the given numbers is 2 x 11 x 16 x 255 = 89760

Least Common Multiple of 22,32,255 with GCF Formula

Least Common Multiple of 22,32,255 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 22,32,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,32,255) = 1

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

GCF(22,32,255) x common factors =1 x 2 = 2

LCM(22,32,255) = ( 22 × 32 × 255 ) / 2

LCM(22,32,255) = 179520 / 2

LCM(22,32,255) = 89760


Lets's calculate GCF of 72,766,269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89760/1

Therefore the LCM of Fractions 22/72,32/766,255/269 is 89760

Greatest Common Factor of 72,766,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,766,269 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 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 72,766,269 . The biggest common factor number is the GCF number.
So the greatest common factor 72,766,269 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 22/72, 32/766, 255/269

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 22/72, 32/766, 255/269?

Answer: LCM of Numerators as per given numbers 22/72, 32/766, 255/269 is

LCM of Numerators i.e. for 22,32,255 is 89760

GCF of denominators i.e. for 72,766,269 is 1.

Thus, LCM of Fractions is 89760.Finally, LCM of Fractions for 22/72, 32/766, 255/269 is 89760.