Least Common Multiple of 28/608, 21/404, 629/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/608, 21/404, 629/452 quickly i.e. 13209 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/608, 21/404, 629/452 is 13209.

LCM(28/608, 21/404, 629/452) = 13209

LCM of 28/608, 21/404, 629/452

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 28/608,21/404,629/452

Given numbers are 28/608,21/404,629/452

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 28,21,629

Least Common Multiple of Numerators i.e. LCM of 28,21,629 is 52836.

GCF of Denominators means GCF of 608,404,452 as per the given fractions.

GCF of 608,404,452 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,21,629

LCM of Fractions 28/608,21/404,629/452 is 13209

7 28, 21, 629
4, 3, 629

∴ So the LCM of the given numbers is 7 x 4 x 3 x 629 = 52836

Least Common Multiple of 28,21,629 with GCF Formula

Least Common Multiple of 28,21,629 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 28,21,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,21,629) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(28,21,629) x common factors =1 x 7 = 7

LCM(28,21,629) = ( 28 × 21 × 629 ) / 7

LCM(28,21,629) = 369852 / 7

LCM(28,21,629) = 52836


Lets's calculate GCF of 608,404,452

2 608, 404, 452
2 304, 202, 226
152, 101, 113

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52836/4

Therefore the LCM of Fractions 28/608,21/404,629/452 is 13209

Greatest Common Factor of 608,404,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,404,452 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 608,404,452 . The biggest common factor number is the GCF number.
So the greatest common factor 608,404,452 is 4.


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 28/608, 21/404, 629/452

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 28/608, 21/404, 629/452?

Answer: LCM of Numerators as per given numbers 28/608, 21/404, 629/452 is

LCM of Numerators i.e. for 28,21,629 is 52836

GCF of denominators i.e. for 608,404,452 is 4.

Thus, LCM of Fractions is 13209.Finally, LCM of Fractions for 28/608, 21/404, 629/452 is 13209.