Least Common Multiple of 54/389, 88/144, 792/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/389, 88/144, 792/941 quickly i.e. 2376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/389, 88/144, 792/941 is 2376.

LCM(54/389, 88/144, 792/941) = 2376

LCM of 54/389, 88/144, 792/941

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 54/389,88/144,792/941

Given numbers are 54/389,88/144,792/941

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 54,88,792

Least Common Multiple of Numerators i.e. LCM of 54,88,792 is 2376.

GCF of Denominators means GCF of 389,144,941 as per the given fractions.

GCF of 389,144,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,88,792

LCM of Fractions 54/389,88/144,792/941 is 2376

2 54, 88, 792
2 27, 44, 396
2 27, 22, 198
3 27, 11, 99
3 9, 11, 33
11 3, 11, 11
3, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 11 x 3 x 1 x 1 = 2376

Least Common Multiple of 54,88,792 with GCF Formula

Least Common Multiple of 54,88,792 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 54,88,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,88,792) = 2

common factors(in case of two or more numbers have common factors) = 792

GCF(54,88,792) x common factors =2 x 792 = 1584

LCM(54,88,792) = ( 54 × 88 × 792 ) / 1584

LCM(54,88,792) = 3763584 / 1584

LCM(54,88,792) = 2376


Lets's calculate GCF of 389,144,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2376/1

Therefore the LCM of Fractions 54/389,88/144,792/941 is 2376

Greatest Common Factor of 389,144,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,144,941 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 389,144,941 . The biggest common factor number is the GCF number.
So the greatest common factor 389,144,941 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 54/389, 88/144, 792/941

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 54/389, 88/144, 792/941?

Answer: LCM of Numerators as per given numbers 54/389, 88/144, 792/941 is

LCM of Numerators i.e. for 54,88,792 is 2376

GCF of denominators i.e. for 389,144,941 is 1.

Thus, LCM of Fractions is 2376.Finally, LCM of Fractions for 54/389, 88/144, 792/941 is 2376.