Least Common Multiple of 321/79, 789/7071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/79, 789/7071 quickly i.e. 84423 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/79, 789/7071 is 84423.

LCM(321/79, 789/7071) = 84423

LCM of 321/79, 789/7071

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 321/79,789/7071

Given numbers are 321/79,789/7071

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 321,789

Least Common Multiple of Numerators i.e. LCM of 321,789 is 84423.

GCF of Denominators means GCF of 79,7071 as per the given fractions.

GCF of 79,7071 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,789

LCM of Fractions 321/79,789/7071 is 84423

3 321, 789
107, 263

∴ So the LCM of the given numbers is 3 x 107 x 263 = 84423

Least Common Multiple of 321,789 with GCF Formula

Least Common Multiple of 321,789 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 321,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,789) = 3

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

GCF(321,789) x common factors =3 x 1 = 3

LCM(321,789) = ( 321 × 789 ) / 3

LCM(321,789) = 253269 / 3

LCM(321,789) = 84423


Lets's calculate GCF of 79,7071

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84423/1

Therefore the LCM of Fractions 321/79,789/7071 is 84423

Greatest Common Factor of 79,7071 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,7071 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 7071

List of positive integer factors of 7071 that divides 7071 without a remainder.

1,3,2357,7071

Greatest Common Factor

We found the factors 79,7071 . The biggest common factor number is the GCF number.
So the greatest common factor 79,7071 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 321/79, 789/7071

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 321/79, 789/7071?

Answer: LCM of Numerators as per given numbers 321/79, 789/7071 is

LCM of Numerators i.e. for 321,789 is 84423

GCF of denominators i.e. for 79,7071 is 1.

Thus, LCM of Fractions is 84423.Finally, LCM of Fractions for 321/79, 789/7071 is 84423.