Least Common Multiple of 24/254, 6878/7108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/254, 6878/7108 quickly i.e. 41268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/254, 6878/7108 is 41268.

LCM(24/254, 6878/7108) = 41268

LCM of 24/254, 6878/7108

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 24/254,6878/7108

Given numbers are 24/254,6878/7108

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 24,6878

Least Common Multiple of Numerators i.e. LCM of 24,6878 is 82536.

GCF of Denominators means GCF of 254,7108 as per the given fractions.

GCF of 254,7108 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,6878

LCM of Fractions 24/254,6878/7108 is 41268

2 24, 6878
12, 3439

∴ So the LCM of the given numbers is 2 x 12 x 3439 = 82536

Least Common Multiple of 24,6878 with GCF Formula

Least Common Multiple of 24,6878 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 24,6878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,6878) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(24,6878) x common factors =2 x 1 = 2

LCM(24,6878) = ( 24 × 6878 ) / 2

LCM(24,6878) = 165072 / 2

LCM(24,6878) = 82536


Lets's calculate GCF of 254,7108

2 254, 7108
127, 3554

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82536/2

Therefore the LCM of Fractions 24/254,6878/7108 is 41268

Greatest Common Factor of 254,7108 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,7108 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 7108

List of positive integer factors of 7108 that divides 7108 without a remainder.

1,2,4,1777,3554,7108

Greatest Common Factor

We found the factors 254,7108 . The biggest common factor number is the GCF number.
So the greatest common factor 254,7108 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 24/254, 6878/7108

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 24/254, 6878/7108?

Answer: LCM of Numerators as per given numbers 24/254, 6878/7108 is

LCM of Numerators i.e. for 24,6878 is 82536

GCF of denominators i.e. for 254,7108 is 2.

Thus, LCM of Fractions is 41268.Finally, LCM of Fractions for 24/254, 6878/7108 is 41268.