Least Common Multiple of 9/90, 29/988, 22/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/90, 29/988, 22/524 quickly i.e. 2871 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/90, 29/988, 22/524 is 2871.

LCM(9/90, 29/988, 22/524) = 2871

LCM of 9/90, 29/988, 22/524

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 9/90,29/988,22/524

Given numbers are 9/90,29/988,22/524

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 9,29,22

Least Common Multiple of Numerators i.e. LCM of 9,29,22 is 5742.

GCF of Denominators means GCF of 90,988,524 as per the given fractions.

GCF of 90,988,524 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,29,22

LCM of Fractions 9/90,29/988,22/524 is 2871

Given numbers has no common factors except 1. So, there LCM is their product i.e 5742

Least Common Multiple of 9,29,22 with GCF Formula

Least Common Multiple of 9,29,22 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 9,29,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,29,22) = 1

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

GCF(9,29,22) x common factors =1 x 1 = 1

LCM(9,29,22) = ( 9 × 29 × 22 ) / 1

LCM(9,29,22) = 5742 / 1

LCM(9,29,22) = 5742


Lets's calculate GCF of 90,988,524

2 90, 988, 524
45, 494, 262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5742/2

Therefore the LCM of Fractions 9/90,29/988,22/524 is 2871

Greatest Common Factor of 90,988,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,988,524 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 90,988,524 . The biggest common factor number is the GCF number.
So the greatest common factor 90,988,524 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 9/90, 29/988, 22/524

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 9/90, 29/988, 22/524?

Answer: LCM of Numerators as per given numbers 9/90, 29/988, 22/524 is

LCM of Numerators i.e. for 9,29,22 is 5742

GCF of denominators i.e. for 90,988,524 is 2.

Thus, LCM of Fractions is 2871.Finally, LCM of Fractions for 9/90, 29/988, 22/524 is 2871.