Least Common Multiple of 8491/73, 8077/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8491/73, 8077/629 quickly i.e. 68581807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8491/73, 8077/629 is 68581807.

LCM(8491/73, 8077/629) = 68581807

LCM of 8491/73, 8077/629

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 8491/73,8077/629

Given numbers are 8491/73,8077/629

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 8491,8077

Least Common Multiple of Numerators i.e. LCM of 8491,8077 is 68581807.

GCF of Denominators means GCF of 73,629 as per the given fractions.

GCF of 73,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8491,8077

LCM of Fractions 8491/73,8077/629 is 68581807

Given numbers has no common factors except 1. So, there LCM is their product i.e 68581807

Least Common Multiple of 8491,8077 with GCF Formula

Least Common Multiple of 8491,8077 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 8491,8077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8491,8077) = 1

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

GCF(8491,8077) x common factors =1 x 1 = 1

LCM(8491,8077) = ( 8491 × 8077 ) / 1

LCM(8491,8077) = 68581807 / 1

LCM(8491,8077) = 68581807


Lets's calculate GCF of 73,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68581807/1

Therefore the LCM of Fractions 8491/73,8077/629 is 68581807

Greatest Common Factor of 73,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,629 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 73,629 . The biggest common factor number is the GCF number.
So the greatest common factor 73,629 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 8491/73, 8077/629

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 8491/73, 8077/629?

Answer: LCM of Numerators as per given numbers 8491/73, 8077/629 is

LCM of Numerators i.e. for 8491,8077 is 68581807

GCF of denominators i.e. for 73,629 is 1.

Thus, LCM of Fractions is 68581807.Finally, LCM of Fractions for 8491/73, 8077/629 is 68581807.