Least Common Multiple of 54/264, 52/958, 391/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/264, 52/958, 391/456 quickly i.e. 274482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/264, 52/958, 391/456 is 274482.

LCM(54/264, 52/958, 391/456) = 274482

LCM of 54/264, 52/958, 391/456

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 54/264,52/958,391/456

Given numbers are 54/264,52/958,391/456

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 54,52,391

Least Common Multiple of Numerators i.e. LCM of 54,52,391 is 548964.

GCF of Denominators means GCF of 264,958,456 as per the given fractions.

GCF of 264,958,456 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,52,391

LCM of Fractions 54/264,52/958,391/456 is 274482

2 54, 52, 391
27, 26, 391

∴ So the LCM of the given numbers is 2 x 27 x 26 x 391 = 548964

Least Common Multiple of 54,52,391 with GCF Formula

Least Common Multiple of 54,52,391 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 54,52,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,52,391) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(54,52,391) x common factors =1 x 2 = 2

LCM(54,52,391) = ( 54 × 52 × 391 ) / 2

LCM(54,52,391) = 1097928 / 2

LCM(54,52,391) = 548964


Lets's calculate GCF of 264,958,456

2 264, 958, 456
132, 479, 228

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 548964/2

Therefore the LCM of Fractions 54/264,52/958,391/456 is 274482

Greatest Common Factor of 264,958,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,958,456 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 264,958,456 . The biggest common factor number is the GCF number.
So the greatest common factor 264,958,456 is 2.


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 54/264, 52/958, 391/456

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 54/264, 52/958, 391/456?

Answer: LCM of Numerators as per given numbers 54/264, 52/958, 391/456 is

LCM of Numerators i.e. for 54,52,391 is 548964

GCF of denominators i.e. for 264,958,456 is 2.

Thus, LCM of Fractions is 274482.Finally, LCM of Fractions for 54/264, 52/958, 391/456 is 274482.