Least Common Multiple of 2087/321, 7567/4494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2087/321, 7567/4494 quickly i.e. 15792329/321 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2087/321, 7567/4494 is 15792329/321.

LCM(2087/321, 7567/4494) = 15792329/321

LCM of 2087/321, 7567/4494

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 2087/321,7567/4494

Given numbers are 2087/321,7567/4494

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 2087,7567

Least Common Multiple of Numerators i.e. LCM of 2087,7567 is 15792329.

GCF of Denominators means GCF of 321,4494 as per the given fractions.

GCF of 321,4494 is 321 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2087,7567

LCM of Fractions 2087/321,7567/4494 is 15792329/321

Given numbers has no common factors except 1. So, there LCM is their product i.e 15792329

Least Common Multiple of 2087,7567 with GCF Formula

Least Common Multiple of 2087,7567 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 2087,7567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2087,7567) = 1

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

GCF(2087,7567) x common factors =1 x 1 = 1

LCM(2087,7567) = ( 2087 × 7567 ) / 1

LCM(2087,7567) = 15792329 / 1

LCM(2087,7567) = 15792329


Lets's calculate GCF of 321,4494

3 321, 4494
107 107, 1498
1, 14

∴ So the GCF of the given numbers is 3 x 107 = 321

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15792329/321

Therefore the LCM of Fractions 2087/321,7567/4494 is 15792329/321

Greatest Common Factor of 321,4494 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,4494 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 4494

List of positive integer factors of 4494 that divides 4494 without a remainder.

1,2,3,6,7,14,21,42,107,214,321,642,749,1498,2247,4494

Greatest Common Factor

We found the factors 321,4494 . The biggest common factor number is the GCF number.
So the greatest common factor 321,4494 is 321.


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 2087/321, 7567/4494

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 2087/321, 7567/4494?

Answer: LCM of Numerators as per given numbers 2087/321, 7567/4494 is

LCM of Numerators i.e. for 2087,7567 is 15792329

GCF of denominators i.e. for 321,4494 is 321.

Thus, LCM of Fractions is 15792329/321.Finally, LCM of Fractions for 2087/321, 7567/4494 is 15792329/321.