Least Common Multiple of 565/663, 6591/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 565/663, 6591/390 quickly i.e. 95485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 565/663, 6591/390 is 95485.

LCM(565/663, 6591/390) = 95485

LCM of 565/663, 6591/390

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 565/663,6591/390

Given numbers are 565/663,6591/390

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 565,6591

Least Common Multiple of Numerators i.e. LCM of 565,6591 is 3723915.

GCF of Denominators means GCF of 663,390 as per the given fractions.

GCF of 663,390 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 565,6591

LCM of Fractions 565/663,6591/390 is 95485

Given numbers has no common factors except 1. So, there LCM is their product i.e 3723915

Least Common Multiple of 565,6591 with GCF Formula

Least Common Multiple of 565,6591 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 565,6591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,6591) = 1

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

GCF(565,6591) x common factors =1 x 1 = 1

LCM(565,6591) = ( 565 × 6591 ) / 1

LCM(565,6591) = 3723915 / 1

LCM(565,6591) = 3723915


Lets's calculate GCF of 663,390

3 663, 390
13 221, 130
17, 10

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3723915/39

Therefore the LCM of Fractions 565/663,6591/390 is 95485

Greatest Common Factor of 663,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,390 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 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 663,390 . The biggest common factor number is the GCF number.
So the greatest common factor 663,390 is 39.


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 565/663, 6591/390

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 565/663, 6591/390?

Answer: LCM of Numerators as per given numbers 565/663, 6591/390 is

LCM of Numerators i.e. for 565,6591 is 3723915

GCF of denominators i.e. for 663,390 is 39.

Thus, LCM of Fractions is 95485.Finally, LCM of Fractions for 565/663, 6591/390 is 95485.