Least Common Multiple of 26/54, 24/38, 976/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/54, 24/38, 976/42 quickly i.e. 19032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/54, 24/38, 976/42 is 19032.

LCM(26/54, 24/38, 976/42) = 19032

LCM of 26/54, 24/38, 976/42

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 26/54,24/38,976/42

Given numbers are 26/54,24/38,976/42

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 26,24,976

Least Common Multiple of Numerators i.e. LCM of 26,24,976 is 38064.

GCF of Denominators means GCF of 54,38,42 as per the given fractions.

GCF of 54,38,42 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,24,976

LCM of Fractions 26/54,24/38,976/42 is 19032

2 26, 24, 976
2 13, 12, 488
2 13, 6, 244
13, 3, 122

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 3 x 122 = 38064

Least Common Multiple of 26,24,976 with GCF Formula

Least Common Multiple of 26,24,976 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 26,24,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,24,976) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(26,24,976) x common factors =2 x 8 = 16

LCM(26,24,976) = ( 26 × 24 × 976 ) / 16

LCM(26,24,976) = 609024 / 16

LCM(26,24,976) = 38064


Lets's calculate GCF of 54,38,42

2 54, 38, 42
27, 19, 21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38064/2

Therefore the LCM of Fractions 26/54,24/38,976/42 is 19032

Greatest Common Factor of 54,38,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,38,42 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 54,38,42 . The biggest common factor number is the GCF number.
So the greatest common factor 54,38,42 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 26/54, 24/38, 976/42

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 26/54, 24/38, 976/42?

Answer: LCM of Numerators as per given numbers 26/54, 24/38, 976/42 is

LCM of Numerators i.e. for 26,24,976 is 38064

GCF of denominators i.e. for 54,38,42 is 2.

Thus, LCM of Fractions is 19032.Finally, LCM of Fractions for 26/54, 24/38, 976/42 is 19032.