Least Common Multiple of 2540/663, 8625/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2540/663, 8625/289 quickly i.e. 4381500/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2540/663, 8625/289 is 4381500/17.

LCM(2540/663, 8625/289) = 4381500/17

LCM of 2540/663, 8625/289

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 2540/663,8625/289

Given numbers are 2540/663,8625/289

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 2540,8625

Least Common Multiple of Numerators i.e. LCM of 2540,8625 is 4381500.

GCF of Denominators means GCF of 663,289 as per the given fractions.

GCF of 663,289 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2540,8625

LCM of Fractions 2540/663,8625/289 is 4381500/17

5 2540, 8625
508, 1725

∴ So the LCM of the given numbers is 5 x 508 x 1725 = 4381500

Least Common Multiple of 2540,8625 with GCF Formula

Least Common Multiple of 2540,8625 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 2540,8625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2540,8625) = 5

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

GCF(2540,8625) x common factors =5 x 1 = 5

LCM(2540,8625) = ( 2540 × 8625 ) / 5

LCM(2540,8625) = 21907500 / 5

LCM(2540,8625) = 4381500


Lets's calculate GCF of 663,289

17 663, 289
39, 17

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4381500/17

Therefore the LCM of Fractions 2540/663,8625/289 is 4381500/17

Greatest Common Factor of 663,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,289 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 663,289 . The biggest common factor number is the GCF number.
So the greatest common factor 663,289 is 17.


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 2540/663, 8625/289

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 2540/663, 8625/289?

Answer: LCM of Numerators as per given numbers 2540/663, 8625/289 is

LCM of Numerators i.e. for 2540,8625 is 4381500

GCF of denominators i.e. for 663,289 is 17.

Thus, LCM of Fractions is 4381500/17.Finally, LCM of Fractions for 2540/663, 8625/289 is 4381500/17.