Least Common Multiple of 28/30, 41/21, 14/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/30, 41/21, 14/294 quickly i.e. 1148/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/30, 41/21, 14/294 is 1148/3.

LCM(28/30, 41/21, 14/294) = 1148/3

LCM of 28/30, 41/21, 14/294

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 28/30,41/21,14/294

Given numbers are 28/30,41/21,14/294

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 28,41,14

Least Common Multiple of Numerators i.e. LCM of 28,41,14 is 1148.

GCF of Denominators means GCF of 30,21,294 as per the given fractions.

GCF of 30,21,294 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,41,14

LCM of Fractions 28/30,41/21,14/294 is 1148/3

2 28, 41, 14
7 14, 41, 7
2, 41, 1

∴ So the LCM of the given numbers is 2 x 7 x 2 x 41 x 1 = 1148

Least Common Multiple of 28,41,14 with GCF Formula

Least Common Multiple of 28,41,14 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 28,41,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,41,14) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(28,41,14) x common factors =1 x 14 = 14

LCM(28,41,14) = ( 28 × 41 × 14 ) / 14

LCM(28,41,14) = 16072 / 14

LCM(28,41,14) = 1148


Lets's calculate GCF of 30,21,294

3 30, 21, 294
10, 7, 98

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1148/3

Therefore the LCM of Fractions 28/30,41/21,14/294 is 1148/3

Greatest Common Factor of 30,21,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,21,294 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 21

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

1,3,7,21

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 30,21,294 . The biggest common factor number is the GCF number.
So the greatest common factor 30,21,294 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 28/30, 41/21, 14/294

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 28/30, 41/21, 14/294?

Answer: LCM of Numerators as per given numbers 28/30, 41/21, 14/294 is

LCM of Numerators i.e. for 28,41,14 is 1148

GCF of denominators i.e. for 30,21,294 is 3.

Thus, LCM of Fractions is 1148/3.Finally, LCM of Fractions for 28/30, 41/21, 14/294 is 1148/3.