Least Common Multiple of 96/663, 1502/5834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/663, 1502/5834 quickly i.e. 72096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/663, 1502/5834 is 72096.

LCM(96/663, 1502/5834) = 72096

LCM of 96/663, 1502/5834

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 96/663,1502/5834

Given numbers are 96/663,1502/5834

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 96,1502

Least Common Multiple of Numerators i.e. LCM of 96,1502 is 72096.

GCF of Denominators means GCF of 663,5834 as per the given fractions.

GCF of 663,5834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,1502

LCM of Fractions 96/663,1502/5834 is 72096

2 96, 1502
48, 751

∴ So the LCM of the given numbers is 2 x 48 x 751 = 72096

Least Common Multiple of 96,1502 with GCF Formula

Least Common Multiple of 96,1502 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 96,1502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,1502) = 2

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

GCF(96,1502) x common factors =2 x 1 = 2

LCM(96,1502) = ( 96 × 1502 ) / 2

LCM(96,1502) = 144192 / 2

LCM(96,1502) = 72096


Lets's calculate GCF of 663,5834

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72096/1

Therefore the LCM of Fractions 96/663,1502/5834 is 72096

Greatest Common Factor of 663,5834 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,5834 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 5834

List of positive integer factors of 5834 that divides 5834 without a remainder.

1,2,2917,5834

Greatest Common Factor

We found the factors 663,5834 . The biggest common factor number is the GCF number.
So the greatest common factor 663,5834 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 96/663, 1502/5834

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 96/663, 1502/5834?

Answer: LCM of Numerators as per given numbers 96/663, 1502/5834 is

LCM of Numerators i.e. for 96,1502 is 72096

GCF of denominators i.e. for 663,5834 is 1.

Thus, LCM of Fractions is 72096.Finally, LCM of Fractions for 96/663, 1502/5834 is 72096.