Least Common Multiple of 294/21, 462/48, 191/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 294/21, 462/48, 191/18 quickly i.e. 205898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 294/21, 462/48, 191/18 is 205898.

LCM(294/21, 462/48, 191/18) = 205898

LCM of 294/21, 462/48, 191/18

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 294/21,462/48,191/18

Given numbers are 294/21,462/48,191/18

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 294,462,191

Least Common Multiple of Numerators i.e. LCM of 294,462,191 is 617694.

GCF of Denominators means GCF of 21,48,18 as per the given fractions.

GCF of 21,48,18 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 294,462,191

LCM of Fractions 294/21,462/48,191/18 is 205898

2 294, 462, 191
3 147, 231, 191
7 49, 77, 191
7, 11, 191

∴ So the LCM of the given numbers is 2 x 3 x 7 x 7 x 11 x 191 = 617694

Least Common Multiple of 294,462,191 with GCF Formula

Least Common Multiple of 294,462,191 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 294,462,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,462,191) = 1

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

GCF(294,462,191) x common factors =1 x 42 = 42

LCM(294,462,191) = ( 294 × 462 × 191 ) / 42

LCM(294,462,191) = 25943148 / 42

LCM(294,462,191) = 617694


Lets's calculate GCF of 21,48,18

3 21, 48, 18
7, 16, 6

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 617694/3

Therefore the LCM of Fractions 294/21,462/48,191/18 is 205898

Greatest Common Factor of 21,48,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,48,18 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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 21,48,18 . The biggest common factor number is the GCF number.
So the greatest common factor 21,48,18 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 294/21, 462/48, 191/18

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 294/21, 462/48, 191/18?

Answer: LCM of Numerators as per given numbers 294/21, 462/48, 191/18 is

LCM of Numerators i.e. for 294,462,191 is 617694

GCF of denominators i.e. for 21,48,18 is 3.

Thus, LCM of Fractions is 205898.Finally, LCM of Fractions for 294/21, 462/48, 191/18 is 205898.