Least Common Multiple of 8487/321, 7415/7683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8487/321, 7415/7683 quickly i.e. 20977035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8487/321, 7415/7683 is 20977035.

LCM(8487/321, 7415/7683) = 20977035

LCM of 8487/321, 7415/7683

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 8487/321,7415/7683

Given numbers are 8487/321,7415/7683

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 8487,7415

Least Common Multiple of Numerators i.e. LCM of 8487,7415 is 62931105.

GCF of Denominators means GCF of 321,7683 as per the given fractions.

GCF of 321,7683 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8487,7415

LCM of Fractions 8487/321,7415/7683 is 20977035

Given numbers has no common factors except 1. So, there LCM is their product i.e 62931105

Least Common Multiple of 8487,7415 with GCF Formula

Least Common Multiple of 8487,7415 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 8487,7415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8487,7415) = 1

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

GCF(8487,7415) x common factors =1 x 1 = 1

LCM(8487,7415) = ( 8487 × 7415 ) / 1

LCM(8487,7415) = 62931105 / 1

LCM(8487,7415) = 62931105


Lets's calculate GCF of 321,7683

3 321, 7683
107, 2561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62931105/3

Therefore the LCM of Fractions 8487/321,7415/7683 is 20977035

Greatest Common Factor of 321,7683 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,7683 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 7683

List of positive integer factors of 7683 that divides 7683 without a remainder.

1,3,13,39,197,591,2561,7683

Greatest Common Factor

We found the factors 321,7683 . The biggest common factor number is the GCF number.
So the greatest common factor 321,7683 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 8487/321, 7415/7683

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 8487/321, 7415/7683?

Answer: LCM of Numerators as per given numbers 8487/321, 7415/7683 is

LCM of Numerators i.e. for 8487,7415 is 62931105

GCF of denominators i.e. for 321,7683 is 3.

Thus, LCM of Fractions is 20977035.Finally, LCM of Fractions for 8487/321, 7415/7683 is 20977035.