Least Common Multiple of 54/78, 26/69, 19/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/78, 26/69, 19/537 quickly i.e. 4446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/78, 26/69, 19/537 is 4446.

LCM(54/78, 26/69, 19/537) = 4446

LCM of 54/78, 26/69, 19/537

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 54/78,26/69,19/537

Given numbers are 54/78,26/69,19/537

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 54,26,19

Least Common Multiple of Numerators i.e. LCM of 54,26,19 is 13338.

GCF of Denominators means GCF of 78,69,537 as per the given fractions.

GCF of 78,69,537 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,26,19

LCM of Fractions 54/78,26/69,19/537 is 4446

2 54, 26, 19
27, 13, 19

∴ So the LCM of the given numbers is 2 x 27 x 13 x 19 = 13338

Least Common Multiple of 54,26,19 with GCF Formula

Least Common Multiple of 54,26,19 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 54,26,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,26,19) = 1

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

GCF(54,26,19) x common factors =1 x 2 = 2

LCM(54,26,19) = ( 54 × 26 × 19 ) / 2

LCM(54,26,19) = 26676 / 2

LCM(54,26,19) = 13338


Lets's calculate GCF of 78,69,537

3 78, 69, 537
26, 23, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13338/3

Therefore the LCM of Fractions 54/78,26/69,19/537 is 4446

Greatest Common Factor of 78,69,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,69,537 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 78,69,537 . The biggest common factor number is the GCF number.
So the greatest common factor 78,69,537 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 54/78, 26/69, 19/537

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 54/78, 26/69, 19/537?

Answer: LCM of Numerators as per given numbers 54/78, 26/69, 19/537 is

LCM of Numerators i.e. for 54,26,19 is 13338

GCF of denominators i.e. for 78,69,537 is 3.

Thus, LCM of Fractions is 4446.Finally, LCM of Fractions for 54/78, 26/69, 19/537 is 4446.