Least Common Multiple of 22/365, 18/242, 882/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/365, 18/242, 882/123 quickly i.e. 9702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/365, 18/242, 882/123 is 9702.

LCM(22/365, 18/242, 882/123) = 9702

LCM of 22/365, 18/242, 882/123

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 22/365,18/242,882/123

Given numbers are 22/365,18/242,882/123

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 22,18,882

Least Common Multiple of Numerators i.e. LCM of 22,18,882 is 9702.

GCF of Denominators means GCF of 365,242,123 as per the given fractions.

GCF of 365,242,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,18,882

LCM of Fractions 22/365,18/242,882/123 is 9702

2 22, 18, 882
3 11, 9, 441
3 11, 3, 147
11, 1, 49

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 49 = 9702

Least Common Multiple of 22,18,882 with GCF Formula

Least Common Multiple of 22,18,882 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 22,18,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,18,882) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(22,18,882) x common factors =2 x 18 = 36

LCM(22,18,882) = ( 22 × 18 × 882 ) / 36

LCM(22,18,882) = 349272 / 36

LCM(22,18,882) = 9702


Lets's calculate GCF of 365,242,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9702/1

Therefore the LCM of Fractions 22/365,18/242,882/123 is 9702

Greatest Common Factor of 365,242,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,242,123 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

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 365,242,123 . The biggest common factor number is the GCF number.
So the greatest common factor 365,242,123 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 22/365, 18/242, 882/123

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 22/365, 18/242, 882/123?

Answer: LCM of Numerators as per given numbers 22/365, 18/242, 882/123 is

LCM of Numerators i.e. for 22,18,882 is 9702

GCF of denominators i.e. for 365,242,123 is 1.

Thus, LCM of Fractions is 9702.Finally, LCM of Fractions for 22/365, 18/242, 882/123 is 9702.