Least Common Multiple of 64/789, 7473/9771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/789, 7473/9771 quickly i.e. 159424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/789, 7473/9771 is 159424.

LCM(64/789, 7473/9771) = 159424

LCM of 64/789, 7473/9771

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 64/789,7473/9771

Given numbers are 64/789,7473/9771

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 64,7473

Least Common Multiple of Numerators i.e. LCM of 64,7473 is 478272.

GCF of Denominators means GCF of 789,9771 as per the given fractions.

GCF of 789,9771 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,7473

LCM of Fractions 64/789,7473/9771 is 159424

Given numbers has no common factors except 1. So, there LCM is their product i.e 478272

Least Common Multiple of 64,7473 with GCF Formula

Least Common Multiple of 64,7473 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 64,7473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,7473) = 1

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

GCF(64,7473) x common factors =1 x 1 = 1

LCM(64,7473) = ( 64 × 7473 ) / 1

LCM(64,7473) = 478272 / 1

LCM(64,7473) = 478272


Lets's calculate GCF of 789,9771

3 789, 9771
263, 3257

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478272/3

Therefore the LCM of Fractions 64/789,7473/9771 is 159424

Greatest Common Factor of 789,9771 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,9771 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 9771

List of positive integer factors of 9771 that divides 9771 without a remainder.

1,3,3257,9771

Greatest Common Factor

We found the factors 789,9771 . The biggest common factor number is the GCF number.
So the greatest common factor 789,9771 is 3.


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 64/789, 7473/9771

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 64/789, 7473/9771?

Answer: LCM of Numerators as per given numbers 64/789, 7473/9771 is

LCM of Numerators i.e. for 64,7473 is 478272

GCF of denominators i.e. for 789,9771 is 3.

Thus, LCM of Fractions is 159424.Finally, LCM of Fractions for 64/789, 7473/9771 is 159424.