Least Common Multiple of 663/266, 585/585, 637/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 663/266, 585/585, 637/357 quickly i.e. 487305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 663/266, 585/585, 637/357 is 487305.

LCM(663/266, 585/585, 637/357) = 487305

LCM of 663/266, 585/585, 637/357

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 663/266,585/585,637/357

Given numbers are 663/266,585/585,637/357

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 663,585,637

Least Common Multiple of Numerators i.e. LCM of 663,585,637 is 487305.

GCF of Denominators means GCF of 266,585,357 as per the given fractions.

GCF of 266,585,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 663,585,637

LCM of Fractions 663/266,585/585,637/357 is 487305

3 663, 585, 637
13 221, 195, 637
17, 15, 49

∴ So the LCM of the given numbers is 3 x 13 x 17 x 15 x 49 = 487305

Least Common Multiple of 663,585,637 with GCF Formula

Least Common Multiple of 663,585,637 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 663,585,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,585,637) = 13

common factors(in case of two or more numbers have common factors) = 39

GCF(663,585,637) x common factors =13 x 39 = 507

LCM(663,585,637) = ( 663 × 585 × 637 ) / 507

LCM(663,585,637) = 247063635 / 507

LCM(663,585,637) = 487305


Lets's calculate GCF of 266,585,357

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487305/1

Therefore the LCM of Fractions 663/266,585/585,637/357 is 487305

Greatest Common Factor of 266,585,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,585,357 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 266,585,357 . The biggest common factor number is the GCF number.
So the greatest common factor 266,585,357 is 1.


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 663/266, 585/585, 637/357

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 663/266, 585/585, 637/357?

Answer: LCM of Numerators as per given numbers 663/266, 585/585, 637/357 is

LCM of Numerators i.e. for 663,585,637 is 487305

GCF of denominators i.e. for 266,585,357 is 1.

Thus, LCM of Fractions is 487305.Finally, LCM of Fractions for 663/266, 585/585, 637/357 is 487305.