Least Common Multiple of 54/274, 108/491, 404/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/274, 108/491, 404/365 quickly i.e. 10908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/274, 108/491, 404/365 is 10908.

LCM(54/274, 108/491, 404/365) = 10908

LCM of 54/274, 108/491, 404/365

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 54/274,108/491,404/365

Given numbers are 54/274,108/491,404/365

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 54,108,404

Least Common Multiple of Numerators i.e. LCM of 54,108,404 is 10908.

GCF of Denominators means GCF of 274,491,365 as per the given fractions.

GCF of 274,491,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,108,404

LCM of Fractions 54/274,108/491,404/365 is 10908

2 54, 108, 404
2 27, 54, 202
3 27, 27, 101
3 9, 9, 101
3 3, 3, 101
1, 1, 101

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 1 x 101 = 10908

Least Common Multiple of 54,108,404 with GCF Formula

Least Common Multiple of 54,108,404 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 54,108,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,108,404) = 2

common factors(in case of two or more numbers have common factors) = 108

GCF(54,108,404) x common factors =2 x 108 = 216

LCM(54,108,404) = ( 54 × 108 × 404 ) / 216

LCM(54,108,404) = 2356128 / 216

LCM(54,108,404) = 10908


Lets's calculate GCF of 274,491,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10908/1

Therefore the LCM of Fractions 54/274,108/491,404/365 is 10908

Greatest Common Factor of 274,491,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,491,365 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 274,491,365 . The biggest common factor number is the GCF number.
So the greatest common factor 274,491,365 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 54/274, 108/491, 404/365

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 54/274, 108/491, 404/365?

Answer: LCM of Numerators as per given numbers 54/274, 108/491, 404/365 is

LCM of Numerators i.e. for 54,108,404 is 10908

GCF of denominators i.e. for 274,491,365 is 1.

Thus, LCM of Fractions is 10908.Finally, LCM of Fractions for 54/274, 108/491, 404/365 is 10908.