Least Common Multiple of 48/379, 27/138, 749/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/379, 27/138, 749/901 quickly i.e. 323568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/379, 27/138, 749/901 is 323568.

LCM(48/379, 27/138, 749/901) = 323568

LCM of 48/379, 27/138, 749/901

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 48/379,27/138,749/901

Given numbers are 48/379,27/138,749/901

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 48,27,749

Least Common Multiple of Numerators i.e. LCM of 48,27,749 is 323568.

GCF of Denominators means GCF of 379,138,901 as per the given fractions.

GCF of 379,138,901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,27,749

LCM of Fractions 48/379,27/138,749/901 is 323568

3 48, 27, 749
16, 9, 749

∴ So the LCM of the given numbers is 3 x 16 x 9 x 749 = 323568

Least Common Multiple of 48,27,749 with GCF Formula

Least Common Multiple of 48,27,749 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 48,27,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,27,749) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(48,27,749) x common factors =1 x 3 = 3

LCM(48,27,749) = ( 48 × 27 × 749 ) / 3

LCM(48,27,749) = 970704 / 3

LCM(48,27,749) = 323568


Lets's calculate GCF of 379,138,901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323568/1

Therefore the LCM of Fractions 48/379,27/138,749/901 is 323568

Greatest Common Factor of 379,138,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,138,901 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 138

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

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

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 379,138,901 . The biggest common factor number is the GCF number.
So the greatest common factor 379,138,901 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 48/379, 27/138, 749/901

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 48/379, 27/138, 749/901?

Answer: LCM of Numerators as per given numbers 48/379, 27/138, 749/901 is

LCM of Numerators i.e. for 48,27,749 is 323568

GCF of denominators i.e. for 379,138,901 is 1.

Thus, LCM of Fractions is 323568.Finally, LCM of Fractions for 48/379, 27/138, 749/901 is 323568.