Least Common Multiple of 54/138, 13/894, 819/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/138, 13/894, 819/342 quickly i.e. 819 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/138, 13/894, 819/342 is 819.

LCM(54/138, 13/894, 819/342) = 819

LCM of 54/138, 13/894, 819/342

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 54/138,13/894,819/342

Given numbers are 54/138,13/894,819/342

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 54,13,819

Least Common Multiple of Numerators i.e. LCM of 54,13,819 is 4914.

GCF of Denominators means GCF of 138,894,342 as per the given fractions.

GCF of 138,894,342 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,13,819

LCM of Fractions 54/138,13/894,819/342 is 819

3 54, 13, 819
3 18, 13, 273
13 6, 13, 91
6, 1, 7

∴ So the LCM of the given numbers is 3 x 3 x 13 x 6 x 1 x 7 = 4914

Least Common Multiple of 54,13,819 with GCF Formula

Least Common Multiple of 54,13,819 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 54,13,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,13,819) = 1

common factors(in case of two or more numbers have common factors) = 117

GCF(54,13,819) x common factors =1 x 117 = 117

LCM(54,13,819) = ( 54 × 13 × 819 ) / 117

LCM(54,13,819) = 574938 / 117

LCM(54,13,819) = 4914


Lets's calculate GCF of 138,894,342

2 138, 894, 342
3 69, 447, 171
23, 149, 57

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4914/6

Therefore the LCM of Fractions 54/138,13/894,819/342 is 819

Greatest Common Factor of 138,894,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,894,342 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 138,894,342 . The biggest common factor number is the GCF number.
So the greatest common factor 138,894,342 is 6.


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 54/138, 13/894, 819/342

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 54/138, 13/894, 819/342?

Answer: LCM of Numerators as per given numbers 54/138, 13/894, 819/342 is

LCM of Numerators i.e. for 54,13,819 is 4914

GCF of denominators i.e. for 138,894,342 is 6.

Thus, LCM of Fractions is 819.Finally, LCM of Fractions for 54/138, 13/894, 819/342 is 819.