Least Common Multiple of 28/473, 5790/5379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/473, 5790/5379 quickly i.e. 81060/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/473, 5790/5379 is 81060/11.

LCM(28/473, 5790/5379) = 81060/11

LCM of 28/473, 5790/5379

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 28/473,5790/5379

Given numbers are 28/473,5790/5379

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 28,5790

Least Common Multiple of Numerators i.e. LCM of 28,5790 is 81060.

GCF of Denominators means GCF of 473,5379 as per the given fractions.

GCF of 473,5379 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,5790

LCM of Fractions 28/473,5790/5379 is 81060/11

2 28, 5790
14, 2895

∴ So the LCM of the given numbers is 2 x 14 x 2895 = 81060

Least Common Multiple of 28,5790 with GCF Formula

Least Common Multiple of 28,5790 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 28,5790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,5790) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(28,5790) x common factors =2 x 1 = 2

LCM(28,5790) = ( 28 × 5790 ) / 2

LCM(28,5790) = 162120 / 2

LCM(28,5790) = 81060


Lets's calculate GCF of 473,5379

11 473, 5379
43, 489

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81060/11

Therefore the LCM of Fractions 28/473,5790/5379 is 81060/11

Greatest Common Factor of 473,5379 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,5379 By Matching Biggest Common Factor Method

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 5379

List of positive integer factors of 5379 that divides 5379 without a remainder.

1,3,11,33,163,489,1793,5379

Greatest Common Factor

We found the factors 473,5379 . The biggest common factor number is the GCF number.
So the greatest common factor 473,5379 is 11.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/473, 5790/5379

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 28/473, 5790/5379?

Answer: LCM of Numerators as per given numbers 28/473, 5790/5379 is

LCM of Numerators i.e. for 28,5790 is 81060

GCF of denominators i.e. for 473,5379 is 11.

Thus, LCM of Fractions is 81060/11.Finally, LCM of Fractions for 28/473, 5790/5379 is 81060/11.