Least Common Multiple of 63/768, 42/323, 302/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/768, 42/323, 302/667 quickly i.e. 19026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/768, 42/323, 302/667 is 19026.

LCM(63/768, 42/323, 302/667) = 19026

LCM of 63/768, 42/323, 302/667

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 63/768,42/323,302/667

Given numbers are 63/768,42/323,302/667

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 63,42,302

Least Common Multiple of Numerators i.e. LCM of 63,42,302 is 19026.

GCF of Denominators means GCF of 768,323,667 as per the given fractions.

GCF of 768,323,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,42,302

LCM of Fractions 63/768,42/323,302/667 is 19026

2 63, 42, 302
3 63, 21, 151
7 7, 21, 151
1, 3, 151

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 3 x 151 = 19026

Least Common Multiple of 63,42,302 with GCF Formula

Least Common Multiple of 63,42,302 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 63,42,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,42,302) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(63,42,302) x common factors =1 x 42 = 42

LCM(63,42,302) = ( 63 × 42 × 302 ) / 42

LCM(63,42,302) = 799092 / 42

LCM(63,42,302) = 19026


Lets's calculate GCF of 768,323,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19026/1

Therefore the LCM of Fractions 63/768,42/323,302/667 is 19026

Greatest Common Factor of 768,323,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,323,667 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 768,323,667 . The biggest common factor number is the GCF number.
So the greatest common factor 768,323,667 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 63/768, 42/323, 302/667

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 63/768, 42/323, 302/667?

Answer: LCM of Numerators as per given numbers 63/768, 42/323, 302/667 is

LCM of Numerators i.e. for 63,42,302 is 19026

GCF of denominators i.e. for 768,323,667 is 1.

Thus, LCM of Fractions is 19026.Finally, LCM of Fractions for 63/768, 42/323, 302/667 is 19026.