Least Common Multiple of 28/13, 21/27, 74/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/13, 21/27, 74/873 quickly i.e. 3108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/13, 21/27, 74/873 is 3108.

LCM(28/13, 21/27, 74/873) = 3108

LCM of 28/13, 21/27, 74/873

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 28/13,21/27,74/873

Given numbers are 28/13,21/27,74/873

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 28,21,74

Least Common Multiple of Numerators i.e. LCM of 28,21,74 is 3108.

GCF of Denominators means GCF of 13,27,873 as per the given fractions.

GCF of 13,27,873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,21,74

LCM of Fractions 28/13,21/27,74/873 is 3108

2 28, 21, 74
7 14, 21, 37
2, 3, 37

∴ So the LCM of the given numbers is 2 x 7 x 2 x 3 x 37 = 3108

Least Common Multiple of 28,21,74 with GCF Formula

Least Common Multiple of 28,21,74 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 28,21,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,21,74) = 1

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

GCF(28,21,74) x common factors =1 x 14 = 14

LCM(28,21,74) = ( 28 × 21 × 74 ) / 14

LCM(28,21,74) = 43512 / 14

LCM(28,21,74) = 3108


Lets's calculate GCF of 13,27,873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3108/1

Therefore the LCM of Fractions 28/13,21/27,74/873 is 3108

Greatest Common Factor of 13,27,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,27,873 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 13,27,873 . The biggest common factor number is the GCF number.
So the greatest common factor 13,27,873 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/13, 21/27, 74/873

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 28/13, 21/27, 74/873?

Answer: LCM of Numerators as per given numbers 28/13, 21/27, 74/873 is

LCM of Numerators i.e. for 28,21,74 is 3108

GCF of denominators i.e. for 13,27,873 is 1.

Thus, LCM of Fractions is 3108.Finally, LCM of Fractions for 28/13, 21/27, 74/873 is 3108.