Least Common Multiple of 2565/669, 5331/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2565/669, 5331/426 quickly i.e. 1519335 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2565/669, 5331/426 is 1519335.

LCM(2565/669, 5331/426) = 1519335

LCM of 2565/669, 5331/426

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 2565/669,5331/426

Given numbers are 2565/669,5331/426

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 2565,5331

Least Common Multiple of Numerators i.e. LCM of 2565,5331 is 4558005.

GCF of Denominators means GCF of 669,426 as per the given fractions.

GCF of 669,426 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2565,5331

LCM of Fractions 2565/669,5331/426 is 1519335

3 2565, 5331
855, 1777

∴ So the LCM of the given numbers is 3 x 855 x 1777 = 4558005

Least Common Multiple of 2565,5331 with GCF Formula

Least Common Multiple of 2565,5331 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 2565,5331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2565,5331) = 3

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

GCF(2565,5331) x common factors =3 x 1 = 3

LCM(2565,5331) = ( 2565 × 5331 ) / 3

LCM(2565,5331) = 13674015 / 3

LCM(2565,5331) = 4558005


Lets's calculate GCF of 669,426

3 669, 426
223, 142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4558005/3

Therefore the LCM of Fractions 2565/669,5331/426 is 1519335

Greatest Common Factor of 669,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,426 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 669,426 . The biggest common factor number is the GCF number.
So the greatest common factor 669,426 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2565/669, 5331/426

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 2565/669, 5331/426?

Answer: LCM of Numerators as per given numbers 2565/669, 5331/426 is

LCM of Numerators i.e. for 2565,5331 is 4558005

GCF of denominators i.e. for 669,426 is 3.

Thus, LCM of Fractions is 1519335.Finally, LCM of Fractions for 2565/669, 5331/426 is 1519335.