Least Common Multiple of 379/54, 5152/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 379/54, 5152/123 quickly i.e. 1952608/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/54, 5152/123 is 1952608/3.

LCM(379/54, 5152/123) = 1952608/3

LCM of 379/54, 5152/123

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 379/54,5152/123

Given numbers are 379/54,5152/123

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 379,5152

Least Common Multiple of Numerators i.e. LCM of 379,5152 is 1952608.

GCF of Denominators means GCF of 54,123 as per the given fractions.

GCF of 54,123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,5152

LCM of Fractions 379/54,5152/123 is 1952608/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1952608

Least Common Multiple of 379,5152 with GCF Formula

Least Common Multiple of 379,5152 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 379,5152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,5152) = 1

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

GCF(379,5152) x common factors =1 x 1 = 1

LCM(379,5152) = ( 379 × 5152 ) / 1

LCM(379,5152) = 1952608 / 1

LCM(379,5152) = 1952608


Lets's calculate GCF of 54,123

3 54, 123
18, 41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1952608/3

Therefore the LCM of Fractions 379/54,5152/123 is 1952608/3

Greatest Common Factor of 54,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,123 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

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 54,123 . The biggest common factor number is the GCF number.
So the greatest common factor 54,123 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 379/54, 5152/123

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 379/54, 5152/123?

Answer: LCM of Numerators as per given numbers 379/54, 5152/123 is

LCM of Numerators i.e. for 379,5152 is 1952608

GCF of denominators i.e. for 54,123 is 3.

Thus, LCM of Fractions is 1952608/3.Finally, LCM of Fractions for 379/54, 5152/123 is 1952608/3.