Least Common Multiple of 681/722, 8272/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 681/722, 8272/828 quickly i.e. 2816616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/722, 8272/828 is 2816616.

LCM(681/722, 8272/828) = 2816616

LCM of 681/722, 8272/828

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 681/722,8272/828

Given numbers are 681/722,8272/828

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 681,8272

Least Common Multiple of Numerators i.e. LCM of 681,8272 is 5633232.

GCF of Denominators means GCF of 722,828 as per the given fractions.

GCF of 722,828 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,8272

LCM of Fractions 681/722,8272/828 is 2816616

Given numbers has no common factors except 1. So, there LCM is their product i.e 5633232

Least Common Multiple of 681,8272 with GCF Formula

Least Common Multiple of 681,8272 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 681,8272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,8272) = 1

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

GCF(681,8272) x common factors =1 x 1 = 1

LCM(681,8272) = ( 681 × 8272 ) / 1

LCM(681,8272) = 5633232 / 1

LCM(681,8272) = 5633232


Lets's calculate GCF of 722,828

2 722, 828
361, 414

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5633232/2

Therefore the LCM of Fractions 681/722,8272/828 is 2816616

Greatest Common Factor of 722,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,828 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 722,828 . The biggest common factor number is the GCF number.
So the greatest common factor 722,828 is 2.


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 681/722, 8272/828

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 681/722, 8272/828?

Answer: LCM of Numerators as per given numbers 681/722, 8272/828 is

LCM of Numerators i.e. for 681,8272 is 5633232

GCF of denominators i.e. for 722,828 is 2.

Thus, LCM of Fractions is 2816616.Finally, LCM of Fractions for 681/722, 8272/828 is 2816616.