Least Common Multiple of 8422/729, 8207/9706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8422/729, 8207/9706 quickly i.e. 69119354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8422/729, 8207/9706 is 69119354.

LCM(8422/729, 8207/9706) = 69119354

LCM of 8422/729, 8207/9706

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 8422/729,8207/9706

Given numbers are 8422/729,8207/9706

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 8422,8207

Least Common Multiple of Numerators i.e. LCM of 8422,8207 is 69119354.

GCF of Denominators means GCF of 729,9706 as per the given fractions.

GCF of 729,9706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8422,8207

LCM of Fractions 8422/729,8207/9706 is 69119354

Given numbers has no common factors except 1. So, there LCM is their product i.e 69119354

Least Common Multiple of 8422,8207 with GCF Formula

Least Common Multiple of 8422,8207 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 8422,8207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8422,8207) = 1

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

GCF(8422,8207) x common factors =1 x 1 = 1

LCM(8422,8207) = ( 8422 × 8207 ) / 1

LCM(8422,8207) = 69119354 / 1

LCM(8422,8207) = 69119354


Lets's calculate GCF of 729,9706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69119354/1

Therefore the LCM of Fractions 8422/729,8207/9706 is 69119354

Greatest Common Factor of 729,9706 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,9706 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 9706

List of positive integer factors of 9706 that divides 9706 without a remainder.

1,2,23,46,211,422,4853,9706

Greatest Common Factor

We found the factors 729,9706 . The biggest common factor number is the GCF number.
So the greatest common factor 729,9706 is 1.


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 8422/729, 8207/9706

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 8422/729, 8207/9706?

Answer: LCM of Numerators as per given numbers 8422/729, 8207/9706 is

LCM of Numerators i.e. for 8422,8207 is 69119354

GCF of denominators i.e. for 729,9706 is 1.

Thus, LCM of Fractions is 69119354.Finally, LCM of Fractions for 8422/729, 8207/9706 is 69119354.