Least Common Multiple of 63/21, 42/24, 79/63, 29/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/21, 42/24, 79/63, 29/198 quickly i.e. 96222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/21, 42/24, 79/63, 29/198 is 96222.

LCM(63/21, 42/24, 79/63, 29/198) = 96222

LCM of 63/21, 42/24, 79/63, 29/198

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 63/21,42/24,79/63,29/198

Given numbers are 63/21,42/24,79/63,29/198

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 63,42,79,29

Least Common Multiple of Numerators i.e. LCM of 63,42,79,29 is 288666.

GCF of Denominators means GCF of 21,24,63,198 as per the given fractions.

GCF of 21,24,63,198 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,42,79,29

LCM of Fractions 63/21,42/24,79/63,29/198 is 96222

3 63, 42, 79, 29
7 21, 14, 79, 29
3, 2, 79, 29

∴ So the LCM of the given numbers is 3 x 7 x 3 x 2 x 79 x 29 = 288666

Least Common Multiple of 63,42,79,29 with GCF Formula

Least Common Multiple of 63,42,79,29 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 63,42,79,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,42,79,29) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(63,42,79,29) x common factors =1 x 21 = 21

LCM(63,42,79,29) = ( 63 × 42 × 79 × 29 ) / 21

LCM(63,42,79,29) = 6061986 / 21

LCM(63,42,79,29) = 288666


Lets's calculate GCF of 21,24,63,198

3 21, 24, 63, 198
7, 8, 21, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288666/3

Therefore the LCM of Fractions 63/21,42/24,79/63,29/198 is 96222

Greatest Common Factor of 21,24,63,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,24,63,198 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 21,24,63,198 . The biggest common factor number is the GCF number.
So the greatest common factor 21,24,63,198 is 3.


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 63/21, 42/24, 79/63, 29/198

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 63/21, 42/24, 79/63, 29/198?

Answer: LCM of Numerators as per given numbers 63/21, 42/24, 79/63, 29/198 is

LCM of Numerators i.e. for 63,42,79,29 is 288666

GCF of denominators i.e. for 21,24,63,198 is 3.

Thus, LCM of Fractions is 96222.Finally, LCM of Fractions for 63/21, 42/24, 79/63, 29/198 is 96222.