Least Common Multiple of 8273/461, 9271/8687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8273/461, 9271/8687 quickly i.e. 76698983 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8273/461, 9271/8687 is 76698983.

LCM(8273/461, 9271/8687) = 76698983

LCM of 8273/461, 9271/8687

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 8273/461,9271/8687

Given numbers are 8273/461,9271/8687

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 8273,9271

Least Common Multiple of Numerators i.e. LCM of 8273,9271 is 76698983.

GCF of Denominators means GCF of 461,8687 as per the given fractions.

GCF of 461,8687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8273,9271

LCM of Fractions 8273/461,9271/8687 is 76698983

Given numbers has no common factors except 1. So, there LCM is their product i.e 76698983

Least Common Multiple of 8273,9271 with GCF Formula

Least Common Multiple of 8273,9271 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 8273,9271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8273,9271) = 1

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

GCF(8273,9271) x common factors =1 x 1 = 1

LCM(8273,9271) = ( 8273 × 9271 ) / 1

LCM(8273,9271) = 76698983 / 1

LCM(8273,9271) = 76698983


Lets's calculate GCF of 461,8687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76698983/1

Therefore the LCM of Fractions 8273/461,9271/8687 is 76698983

Greatest Common Factor of 461,8687 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,8687 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 8687

List of positive integer factors of 8687 that divides 8687 without a remainder.

1,7,17,73,119,511,1241,8687

Greatest Common Factor

We found the factors 461,8687 . The biggest common factor number is the GCF number.
So the greatest common factor 461,8687 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 8273/461, 9271/8687

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 8273/461, 9271/8687?

Answer: LCM of Numerators as per given numbers 8273/461, 9271/8687 is

LCM of Numerators i.e. for 8273,9271 is 76698983

GCF of denominators i.e. for 461,8687 is 1.

Thus, LCM of Fractions is 76698983.Finally, LCM of Fractions for 8273/461, 9271/8687 is 76698983.