Least Common Multiple of 54/39, 48/15, 506/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/39, 48/15, 506/213 quickly i.e. 36432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/39, 48/15, 506/213 is 36432.

LCM(54/39, 48/15, 506/213) = 36432

LCM of 54/39, 48/15, 506/213

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 54/39,48/15,506/213

Given numbers are 54/39,48/15,506/213

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 54,48,506

Least Common Multiple of Numerators i.e. LCM of 54,48,506 is 109296.

GCF of Denominators means GCF of 39,15,213 as per the given fractions.

GCF of 39,15,213 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,48,506

LCM of Fractions 54/39,48/15,506/213 is 36432

2 54, 48, 506
3 27, 24, 253
9, 8, 253

∴ So the LCM of the given numbers is 2 x 3 x 9 x 8 x 253 = 109296

Least Common Multiple of 54,48,506 with GCF Formula

Least Common Multiple of 54,48,506 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 54,48,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,48,506) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(54,48,506) x common factors =2 x 6 = 12

LCM(54,48,506) = ( 54 × 48 × 506 ) / 12

LCM(54,48,506) = 1311552 / 12

LCM(54,48,506) = 109296


Lets's calculate GCF of 39,15,213

3 39, 15, 213
13, 5, 71

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109296/3

Therefore the LCM of Fractions 54/39,48/15,506/213 is 36432

Greatest Common Factor of 39,15,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,15,213 By Matching Biggest Common Factor Method

Factors of 39

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

1,3,13,39

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 39,15,213 . The biggest common factor number is the GCF number.
So the greatest common factor 39,15,213 is 3.


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 54/39, 48/15, 506/213

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 54/39, 48/15, 506/213?

Answer: LCM of Numerators as per given numbers 54/39, 48/15, 506/213 is

LCM of Numerators i.e. for 54,48,506 is 109296

GCF of denominators i.e. for 39,15,213 is 3.

Thus, LCM of Fractions is 36432.Finally, LCM of Fractions for 54/39, 48/15, 506/213 is 36432.