Least Common Multiple of 9722/726, 7106/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9722/726, 7106/808 quickly i.e. 17271133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9722/726, 7106/808 is 17271133.

LCM(9722/726, 7106/808) = 17271133

LCM of 9722/726, 7106/808

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 9722/726,7106/808

Given numbers are 9722/726,7106/808

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 9722,7106

Least Common Multiple of Numerators i.e. LCM of 9722,7106 is 34542266.

GCF of Denominators means GCF of 726,808 as per the given fractions.

GCF of 726,808 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9722,7106

LCM of Fractions 9722/726,7106/808 is 17271133

2 9722, 7106
4861, 3553

∴ So the LCM of the given numbers is 2 x 4861 x 3553 = 34542266

Least Common Multiple of 9722,7106 with GCF Formula

Least Common Multiple of 9722,7106 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 9722,7106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9722,7106) = 2

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

GCF(9722,7106) x common factors =2 x 1 = 2

LCM(9722,7106) = ( 9722 × 7106 ) / 2

LCM(9722,7106) = 69084532 / 2

LCM(9722,7106) = 34542266


Lets's calculate GCF of 726,808

2 726, 808
363, 404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34542266/2

Therefore the LCM of Fractions 9722/726,7106/808 is 17271133

Greatest Common Factor of 726,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,808 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 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 726,808 . The biggest common factor number is the GCF number.
So the greatest common factor 726,808 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9722/726, 7106/808

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 9722/726, 7106/808?

Answer: LCM of Numerators as per given numbers 9722/726, 7106/808 is

LCM of Numerators i.e. for 9722,7106 is 34542266

GCF of denominators i.e. for 726,808 is 2.

Thus, LCM of Fractions is 17271133.Finally, LCM of Fractions for 9722/726, 7106/808 is 17271133.