Least Common Multiple of 22/149, 11/885, 564/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/149, 11/885, 564/123 quickly i.e. 6204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/149, 11/885, 564/123 is 6204.

LCM(22/149, 11/885, 564/123) = 6204

LCM of 22/149, 11/885, 564/123

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 22/149,11/885,564/123

Given numbers are 22/149,11/885,564/123

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 22,11,564

Least Common Multiple of Numerators i.e. LCM of 22,11,564 is 6204.

GCF of Denominators means GCF of 149,885,123 as per the given fractions.

GCF of 149,885,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,11,564

LCM of Fractions 22/149,11/885,564/123 is 6204

2 22, 11, 564
11 11, 11, 282
1, 1, 282

∴ So the LCM of the given numbers is 2 x 11 x 1 x 1 x 282 = 6204

Least Common Multiple of 22,11,564 with GCF Formula

Least Common Multiple of 22,11,564 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 22,11,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,11,564) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(22,11,564) x common factors =1 x 22 = 22

LCM(22,11,564) = ( 22 × 11 × 564 ) / 22

LCM(22,11,564) = 136488 / 22

LCM(22,11,564) = 6204


Lets's calculate GCF of 149,885,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6204/1

Therefore the LCM of Fractions 22/149,11/885,564/123 is 6204

Greatest Common Factor of 149,885,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,885,123 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 149,885,123 . The biggest common factor number is the GCF number.
So the greatest common factor 149,885,123 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 22/149, 11/885, 564/123

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 22/149, 11/885, 564/123?

Answer: LCM of Numerators as per given numbers 22/149, 11/885, 564/123 is

LCM of Numerators i.e. for 22,11,564 is 6204

GCF of denominators i.e. for 149,885,123 is 1.

Thus, LCM of Fractions is 6204.Finally, LCM of Fractions for 22/149, 11/885, 564/123 is 6204.