Least Common Multiple of 138/68, 441/9154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/68, 441/9154 quickly i.e. 10143 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/68, 441/9154 is 10143.

LCM(138/68, 441/9154) = 10143

LCM of 138/68, 441/9154

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 138/68,441/9154

Given numbers are 138/68,441/9154

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 138,441

Least Common Multiple of Numerators i.e. LCM of 138,441 is 20286.

GCF of Denominators means GCF of 68,9154 as per the given fractions.

GCF of 68,9154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,441

LCM of Fractions 138/68,441/9154 is 10143

3 138, 441
46, 147

∴ So the LCM of the given numbers is 3 x 46 x 147 = 20286

Least Common Multiple of 138,441 with GCF Formula

Least Common Multiple of 138,441 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 138,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,441) = 3

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

GCF(138,441) x common factors =3 x 1 = 3

LCM(138,441) = ( 138 × 441 ) / 3

LCM(138,441) = 60858 / 3

LCM(138,441) = 20286


Lets's calculate GCF of 68,9154

2 68, 9154
34, 4577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20286/2

Therefore the LCM of Fractions 138/68,441/9154 is 10143

Greatest Common Factor of 68,9154 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,9154 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 9154

List of positive integer factors of 9154 that divides 9154 without a remainder.

1,2,23,46,199,398,4577,9154

Greatest Common Factor

We found the factors 68,9154 . The biggest common factor number is the GCF number.
So the greatest common factor 68,9154 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 138/68, 441/9154

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 138/68, 441/9154?

Answer: LCM of Numerators as per given numbers 138/68, 441/9154 is

LCM of Numerators i.e. for 138,441 is 20286

GCF of denominators i.e. for 68,9154 is 2.

Thus, LCM of Fractions is 10143.Finally, LCM of Fractions for 138/68, 441/9154 is 10143.