Least Common Multiple of 24/768, 72/704, 142/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/768, 72/704, 142/165 quickly i.e. 5112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/768, 72/704, 142/165 is 5112.

LCM(24/768, 72/704, 142/165) = 5112

LCM of 24/768, 72/704, 142/165

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 24/768,72/704,142/165

Given numbers are 24/768,72/704,142/165

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 24,72,142

Least Common Multiple of Numerators i.e. LCM of 24,72,142 is 5112.

GCF of Denominators means GCF of 768,704,165 as per the given fractions.

GCF of 768,704,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,72,142

LCM of Fractions 24/768,72/704,142/165 is 5112

2 24, 72, 142
2 12, 36, 71
2 6, 18, 71
3 3, 9, 71
1, 3, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 3 x 71 = 5112

Least Common Multiple of 24,72,142 with GCF Formula

Least Common Multiple of 24,72,142 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 24,72,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,72,142) = 2

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

GCF(24,72,142) x common factors =2 x 24 = 48

LCM(24,72,142) = ( 24 × 72 × 142 ) / 48

LCM(24,72,142) = 245376 / 48

LCM(24,72,142) = 5112


Lets's calculate GCF of 768,704,165

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5112/1

Therefore the LCM of Fractions 24/768,72/704,142/165 is 5112

Greatest Common Factor of 768,704,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,704,165 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 768,704,165 . The biggest common factor number is the GCF number.
So the greatest common factor 768,704,165 is 1.


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 24/768, 72/704, 142/165

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 24/768, 72/704, 142/165?

Answer: LCM of Numerators as per given numbers 24/768, 72/704, 142/165 is

LCM of Numerators i.e. for 24,72,142 is 5112

GCF of denominators i.e. for 768,704,165 is 1.

Thus, LCM of Fractions is 5112.Finally, LCM of Fractions for 24/768, 72/704, 142/165 is 5112.