Least Common Multiple of 24/165, 745/91, 937/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/165, 745/91, 937/696 quickly i.e. 16753560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/165, 745/91, 937/696 is 16753560.

LCM(24/165, 745/91, 937/696) = 16753560

LCM of 24/165, 745/91, 937/696

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 24/165,745/91,937/696

Given numbers are 24/165,745/91,937/696

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 24,745,937

Least Common Multiple of Numerators i.e. LCM of 24,745,937 is 16753560.

GCF of Denominators means GCF of 165,91,696 as per the given fractions.

GCF of 165,91,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,745,937

LCM of Fractions 24/165,745/91,937/696 is 16753560

Given numbers has no common factors except 1. So, there LCM is their product i.e 16753560

Least Common Multiple of 24,745,937 with GCF Formula

Least Common Multiple of 24,745,937 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 24,745,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,745,937) = 1

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

GCF(24,745,937) x common factors =1 x 1 = 1

LCM(24,745,937) = ( 24 × 745 × 937 ) / 1

LCM(24,745,937) = 16753560 / 1

LCM(24,745,937) = 16753560


Lets's calculate GCF of 165,91,696

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16753560/1

Therefore the LCM of Fractions 24/165,745/91,937/696 is 16753560

Greatest Common Factor of 165,91,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,91,696 By Matching Biggest Common Factor Method

Factors of 165

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

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

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 165,91,696 . The biggest common factor number is the GCF number.
So the greatest common factor 165,91,696 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/165, 745/91, 937/696

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 24/165, 745/91, 937/696?

Answer: LCM of Numerators as per given numbers 24/165, 745/91, 937/696 is

LCM of Numerators i.e. for 24,745,937 is 16753560

GCF of denominators i.e. for 165,91,696 is 1.

Thus, LCM of Fractions is 16753560.Finally, LCM of Fractions for 24/165, 745/91, 937/696 is 16753560.