Least Common Multiple of 663/304, 1020/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 663/304, 1020/638 quickly i.e. 6630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 663/304, 1020/638 is 6630.

LCM(663/304, 1020/638) = 6630

LCM of 663/304, 1020/638

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 663/304,1020/638

Given numbers are 663/304,1020/638

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 663,1020

Least Common Multiple of Numerators i.e. LCM of 663,1020 is 13260.

GCF of Denominators means GCF of 304,638 as per the given fractions.

GCF of 304,638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 663,1020

LCM of Fractions 663/304,1020/638 is 6630

3 663, 1020
17 221, 340
13, 20

∴ So the LCM of the given numbers is 3 x 17 x 13 x 20 = 13260

Least Common Multiple of 663,1020 with GCF Formula

Least Common Multiple of 663,1020 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 663,1020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,1020) = 51

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

GCF(663,1020) x common factors =51 x 1 = 51

LCM(663,1020) = ( 663 × 1020 ) / 51

LCM(663,1020) = 676260 / 51

LCM(663,1020) = 13260


Lets's calculate GCF of 304,638

2 304, 638
152, 319

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13260/2

Therefore the LCM of Fractions 663/304,1020/638 is 6630

Greatest Common Factor of 304,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,638 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 304,638 . The biggest common factor number is the GCF number.
So the greatest common factor 304,638 is 2.


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 663/304, 1020/638

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 663/304, 1020/638?

Answer: LCM of Numerators as per given numbers 663/304, 1020/638 is

LCM of Numerators i.e. for 663,1020 is 13260

GCF of denominators i.e. for 304,638 is 2.

Thus, LCM of Fractions is 6630.Finally, LCM of Fractions for 663/304, 1020/638 is 6630.