Least Common Multiple of 96/660, 24/696, 782/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/660, 24/696, 782/629 quickly i.e. 37536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/660, 24/696, 782/629 is 37536.

LCM(96/660, 24/696, 782/629) = 37536

LCM of 96/660, 24/696, 782/629

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 96/660,24/696,782/629

Given numbers are 96/660,24/696,782/629

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 96,24,782

Least Common Multiple of Numerators i.e. LCM of 96,24,782 is 37536.

GCF of Denominators means GCF of 660,696,629 as per the given fractions.

GCF of 660,696,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,24,782

LCM of Fractions 96/660,24/696,782/629 is 37536

2 96, 24, 782
2 48, 12, 391
2 24, 6, 391
3 12, 3, 391
4, 1, 391

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 1 x 391 = 37536

Least Common Multiple of 96,24,782 with GCF Formula

Least Common Multiple of 96,24,782 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 96,24,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,24,782) = 2

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

GCF(96,24,782) x common factors =2 x 24 = 48

LCM(96,24,782) = ( 96 × 24 × 782 ) / 48

LCM(96,24,782) = 1801728 / 48

LCM(96,24,782) = 37536


Lets's calculate GCF of 660,696,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37536/1

Therefore the LCM of Fractions 96/660,24/696,782/629 is 37536

Greatest Common Factor of 660,696,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,696,629 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

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

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 660,696,629 . The biggest common factor number is the GCF number.
So the greatest common factor 660,696,629 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 96/660, 24/696, 782/629

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 96/660, 24/696, 782/629?

Answer: LCM of Numerators as per given numbers 96/660, 24/696, 782/629 is

LCM of Numerators i.e. for 96,24,782 is 37536

GCF of denominators i.e. for 660,696,629 is 1.

Thus, LCM of Fractions is 37536.Finally, LCM of Fractions for 96/660, 24/696, 782/629 is 37536.