Least Common Multiple of 644/690, 7422/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 644/690, 7422/138 quickly i.e. 17318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 644/690, 7422/138 is 17318.

LCM(644/690, 7422/138) = 17318

LCM of 644/690, 7422/138

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 644/690,7422/138

Given numbers are 644/690,7422/138

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 644,7422

Least Common Multiple of Numerators i.e. LCM of 644,7422 is 2389884.

GCF of Denominators means GCF of 690,138 as per the given fractions.

GCF of 690,138 is 138 as it is the largest common factor for these numbers.

Lets's calculate LCM of 644,7422

LCM of Fractions 644/690,7422/138 is 17318

2 644, 7422
322, 3711

∴ So the LCM of the given numbers is 2 x 322 x 3711 = 2389884

Least Common Multiple of 644,7422 with GCF Formula

Least Common Multiple of 644,7422 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 644,7422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,7422) = 2

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

GCF(644,7422) x common factors =2 x 1 = 2

LCM(644,7422) = ( 644 × 7422 ) / 2

LCM(644,7422) = 4779768 / 2

LCM(644,7422) = 2389884


Lets's calculate GCF of 690,138

2 690, 138
3 345, 69
23 115, 23
5, 1

∴ So the GCF of the given numbers is 2 x 3 x 23 = 138

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2389884/138

Therefore the LCM of Fractions 644/690,7422/138 is 17318

Greatest Common Factor of 690,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,138 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 690,138 . The biggest common factor number is the GCF number.
So the greatest common factor 690,138 is 138.


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 644/690, 7422/138

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 644/690, 7422/138?

Answer: LCM of Numerators as per given numbers 644/690, 7422/138 is

LCM of Numerators i.e. for 644,7422 is 2389884

GCF of denominators i.e. for 690,138 is 138.

Thus, LCM of Fractions is 17318.Finally, LCM of Fractions for 644/690, 7422/138 is 17318.