Least Common Multiple of 722/726, 891/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 722/726, 891/834 quickly i.e. 107217 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 722/726, 891/834 is 107217.

LCM(722/726, 891/834) = 107217

LCM of 722/726, 891/834

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 722/726,891/834

Given numbers are 722/726,891/834

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 722,891

Least Common Multiple of Numerators i.e. LCM of 722,891 is 643302.

GCF of Denominators means GCF of 726,834 as per the given fractions.

GCF of 726,834 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 722,891

LCM of Fractions 722/726,891/834 is 107217

Given numbers has no common factors except 1. So, there LCM is their product i.e 643302

Least Common Multiple of 722,891 with GCF Formula

Least Common Multiple of 722,891 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 722,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,891) = 1

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

GCF(722,891) x common factors =1 x 1 = 1

LCM(722,891) = ( 722 × 891 ) / 1

LCM(722,891) = 643302 / 1

LCM(722,891) = 643302


Lets's calculate GCF of 726,834

2 726, 834
3 363, 417
121, 139

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 643302/6

Therefore the LCM of Fractions 722/726,891/834 is 107217

Greatest Common Factor of 726,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,834 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 726,834 . The biggest common factor number is the GCF number.
So the greatest common factor 726,834 is 6.


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 722/726, 891/834

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 722/726, 891/834?

Answer: LCM of Numerators as per given numbers 722/726, 891/834 is

LCM of Numerators i.e. for 722,891 is 643302

GCF of denominators i.e. for 726,834 is 6.

Thus, LCM of Fractions is 107217.Finally, LCM of Fractions for 722/726, 891/834 is 107217.