Least Common Multiple of 8/96, 3/38, 24/12, 97/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/96, 3/38, 24/12, 97/278 quickly i.e. 1164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/96, 3/38, 24/12, 97/278 is 1164.

LCM(8/96, 3/38, 24/12, 97/278) = 1164

LCM of 8/96, 3/38, 24/12, 97/278

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 8/96,3/38,24/12,97/278

Given numbers are 8/96,3/38,24/12,97/278

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 8,3,24,97

Least Common Multiple of Numerators i.e. LCM of 8,3,24,97 is 2328.

GCF of Denominators means GCF of 96,38,12,278 as per the given fractions.

GCF of 96,38,12,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,3,24,97

LCM of Fractions 8/96,3/38,24/12,97/278 is 1164

2 8, 3, 24, 97
2 4, 3, 12, 97
2 2, 3, 6, 97
3 1, 3, 3, 97
1, 1, 1, 97

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 1 x 1 x 97 = 2328

Least Common Multiple of 8,3,24,97 with GCF Formula

Least Common Multiple of 8,3,24,97 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 8,3,24,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,3,24,97) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(8,3,24,97) x common factors =1 x 24 = 24

LCM(8,3,24,97) = ( 8 × 3 × 24 × 97 ) / 24

LCM(8,3,24,97) = 55872 / 24

LCM(8,3,24,97) = 2328


Lets's calculate GCF of 96,38,12,278

2 96, 38, 12, 278
48, 19, 6, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2328/2

Therefore the LCM of Fractions 8/96,3/38,24/12,97/278 is 1164

Greatest Common Factor of 96,38,12,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,38,12,278 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 38

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

1,2,19,38

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 96,38,12,278 . The biggest common factor number is the GCF number.
So the greatest common factor 96,38,12,278 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 8/96, 3/38, 24/12, 97/278

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 8/96, 3/38, 24/12, 97/278?

Answer: LCM of Numerators as per given numbers 8/96, 3/38, 24/12, 97/278 is

LCM of Numerators i.e. for 8,3,24,97 is 2328

GCF of denominators i.e. for 96,38,12,278 is 2.

Thus, LCM of Fractions is 1164.Finally, LCM of Fractions for 8/96, 3/38, 24/12, 97/278 is 1164.