Least Common Multiple of 832/33, 513/83, 724/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 832/33, 513/83, 724/696 quickly i.e. 77253696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 832/33, 513/83, 724/696 is 77253696.

LCM(832/33, 513/83, 724/696) = 77253696

LCM of 832/33, 513/83, 724/696

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 832/33,513/83,724/696

Given numbers are 832/33,513/83,724/696

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 832,513,724

Least Common Multiple of Numerators i.e. LCM of 832,513,724 is 77253696.

GCF of Denominators means GCF of 33,83,696 as per the given fractions.

GCF of 33,83,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 832,513,724

LCM of Fractions 832/33,513/83,724/696 is 77253696

2 832, 513, 724
2 416, 513, 362
208, 513, 181

∴ So the LCM of the given numbers is 2 x 2 x 208 x 513 x 181 = 77253696

Least Common Multiple of 832,513,724 with GCF Formula

Least Common Multiple of 832,513,724 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 832,513,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,513,724) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(832,513,724) x common factors =1 x 4 = 4

LCM(832,513,724) = ( 832 × 513 × 724 ) / 4

LCM(832,513,724) = 309014784 / 4

LCM(832,513,724) = 77253696


Lets's calculate GCF of 33,83,696

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77253696/1

Therefore the LCM of Fractions 832/33,513/83,724/696 is 77253696

Greatest Common Factor of 33,83,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,83,696 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

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 33,83,696 . The biggest common factor number is the GCF number.
So the greatest common factor 33,83,696 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 832/33, 513/83, 724/696

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 832/33, 513/83, 724/696?

Answer: LCM of Numerators as per given numbers 832/33, 513/83, 724/696 is

LCM of Numerators i.e. for 832,513,724 is 77253696

GCF of denominators i.e. for 33,83,696 is 1.

Thus, LCM of Fractions is 77253696.Finally, LCM of Fractions for 832/33, 513/83, 724/696 is 77253696.