Least Common Multiple of 796/28, 722/9675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 796/28, 722/9675 quickly i.e. 287356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 796/28, 722/9675 is 287356.

LCM(796/28, 722/9675) = 287356

LCM of 796/28, 722/9675

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 796/28,722/9675

Given numbers are 796/28,722/9675

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 796,722

Least Common Multiple of Numerators i.e. LCM of 796,722 is 287356.

GCF of Denominators means GCF of 28,9675 as per the given fractions.

GCF of 28,9675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 796,722

LCM of Fractions 796/28,722/9675 is 287356

2 796, 722
398, 361

∴ So the LCM of the given numbers is 2 x 398 x 361 = 287356

Least Common Multiple of 796,722 with GCF Formula

Least Common Multiple of 796,722 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 796,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,722) = 2

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

GCF(796,722) x common factors =2 x 1 = 2

LCM(796,722) = ( 796 × 722 ) / 2

LCM(796,722) = 574712 / 2

LCM(796,722) = 287356


Lets's calculate GCF of 28,9675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287356/1

Therefore the LCM of Fractions 796/28,722/9675 is 287356

Greatest Common Factor of 28,9675 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,9675 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 9675

List of positive integer factors of 9675 that divides 9675 without a remainder.

1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675

Greatest Common Factor

We found the factors 28,9675 . The biggest common factor number is the GCF number.
So the greatest common factor 28,9675 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 796/28, 722/9675

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 796/28, 722/9675?

Answer: LCM of Numerators as per given numbers 796/28, 722/9675 is

LCM of Numerators i.e. for 796,722 is 287356

GCF of denominators i.e. for 28,9675 is 1.

Thus, LCM of Fractions is 287356.Finally, LCM of Fractions for 796/28, 722/9675 is 287356.