Least Common Multiple of 54/912, 31/472, 363/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/912, 31/472, 363/591 quickly i.e. 202554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/912, 31/472, 363/591 is 202554.

LCM(54/912, 31/472, 363/591) = 202554

LCM of 54/912, 31/472, 363/591

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 54/912,31/472,363/591

Given numbers are 54/912,31/472,363/591

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 54,31,363

Least Common Multiple of Numerators i.e. LCM of 54,31,363 is 202554.

GCF of Denominators means GCF of 912,472,591 as per the given fractions.

GCF of 912,472,591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,31,363

LCM of Fractions 54/912,31/472,363/591 is 202554

3 54, 31, 363
18, 31, 121

∴ So the LCM of the given numbers is 3 x 18 x 31 x 121 = 202554

Least Common Multiple of 54,31,363 with GCF Formula

Least Common Multiple of 54,31,363 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 54,31,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,31,363) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(54,31,363) x common factors =1 x 3 = 3

LCM(54,31,363) = ( 54 × 31 × 363 ) / 3

LCM(54,31,363) = 607662 / 3

LCM(54,31,363) = 202554


Lets's calculate GCF of 912,472,591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202554/1

Therefore the LCM of Fractions 54/912,31/472,363/591 is 202554

Greatest Common Factor of 912,472,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,472,591 By Matching Biggest Common Factor Method

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 912,472,591 . The biggest common factor number is the GCF number.
So the greatest common factor 912,472,591 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 54/912, 31/472, 363/591

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 54/912, 31/472, 363/591?

Answer: LCM of Numerators as per given numbers 54/912, 31/472, 363/591 is

LCM of Numerators i.e. for 54,31,363 is 202554

GCF of denominators i.e. for 912,472,591 is 1.

Thus, LCM of Fractions is 202554.Finally, LCM of Fractions for 54/912, 31/472, 363/591 is 202554.