Least Common Multiple of 379/96, 288/39, 198/53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 379/96, 288/39, 198/53 quickly i.e. 1200672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/96, 288/39, 198/53 is 1200672.

LCM(379/96, 288/39, 198/53) = 1200672

LCM of 379/96, 288/39, 198/53

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 379/96,288/39,198/53

Given numbers are 379/96,288/39,198/53

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 379,288,198

Least Common Multiple of Numerators i.e. LCM of 379,288,198 is 1200672.

GCF of Denominators means GCF of 96,39,53 as per the given fractions.

GCF of 96,39,53 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,288,198

LCM of Fractions 379/96,288/39,198/53 is 1200672

2 379, 288, 198
3 379, 144, 99
3 379, 48, 33
379, 16, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 379 x 16 x 11 = 1200672

Least Common Multiple of 379,288,198 with GCF Formula

Least Common Multiple of 379,288,198 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 379,288,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,288,198) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(379,288,198) x common factors =1 x 18 = 18

LCM(379,288,198) = ( 379 × 288 × 198 ) / 18

LCM(379,288,198) = 21612096 / 18

LCM(379,288,198) = 1200672


Lets's calculate GCF of 96,39,53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1200672/1

Therefore the LCM of Fractions 379/96,288/39,198/53 is 1200672

Greatest Common Factor of 96,39,53 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,39,53 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Greatest Common Factor

We found the factors 96,39,53 . The biggest common factor number is the GCF number.
So the greatest common factor 96,39,53 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 379/96, 288/39, 198/53

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 379/96, 288/39, 198/53?

Answer: LCM of Numerators as per given numbers 379/96, 288/39, 198/53 is

LCM of Numerators i.e. for 379,288,198 is 1200672

GCF of denominators i.e. for 96,39,53 is 1.

Thus, LCM of Fractions is 1200672.Finally, LCM of Fractions for 379/96, 288/39, 198/53 is 1200672.