Least Common Multiple of 138/474, 7839/2301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/474, 7839/2301 quickly i.e. 120198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/474, 7839/2301 is 120198.

LCM(138/474, 7839/2301) = 120198

LCM of 138/474, 7839/2301

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 138/474,7839/2301

Given numbers are 138/474,7839/2301

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 138,7839

Least Common Multiple of Numerators i.e. LCM of 138,7839 is 360594.

GCF of Denominators means GCF of 474,2301 as per the given fractions.

GCF of 474,2301 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,7839

LCM of Fractions 138/474,7839/2301 is 120198

3 138, 7839
46, 2613

∴ So the LCM of the given numbers is 3 x 46 x 2613 = 360594

Least Common Multiple of 138,7839 with GCF Formula

Least Common Multiple of 138,7839 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 138,7839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,7839) = 3

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

GCF(138,7839) x common factors =3 x 1 = 3

LCM(138,7839) = ( 138 × 7839 ) / 3

LCM(138,7839) = 1081782 / 3

LCM(138,7839) = 360594


Lets's calculate GCF of 474,2301

3 474, 2301
158, 767

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360594/3

Therefore the LCM of Fractions 138/474,7839/2301 is 120198

Greatest Common Factor of 474,2301 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,2301 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 2301

List of positive integer factors of 2301 that divides 2301 without a remainder.

1,3,13,39,59,177,767,2301

Greatest Common Factor

We found the factors 474,2301 . The biggest common factor number is the GCF number.
So the greatest common factor 474,2301 is 3.


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 138/474, 7839/2301

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 138/474, 7839/2301?

Answer: LCM of Numerators as per given numbers 138/474, 7839/2301 is

LCM of Numerators i.e. for 138,7839 is 360594

GCF of denominators i.e. for 474,2301 is 3.

Thus, LCM of Fractions is 120198.Finally, LCM of Fractions for 138/474, 7839/2301 is 120198.