Least Common Multiple of 28/429, 54/363, 108/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/429, 54/363, 108/645 quickly i.e. 252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/429, 54/363, 108/645 is 252.

LCM(28/429, 54/363, 108/645) = 252

LCM of 28/429, 54/363, 108/645

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 28/429,54/363,108/645

Given numbers are 28/429,54/363,108/645

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 28,54,108

Least Common Multiple of Numerators i.e. LCM of 28,54,108 is 756.

GCF of Denominators means GCF of 429,363,645 as per the given fractions.

GCF of 429,363,645 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,54,108

LCM of Fractions 28/429,54/363,108/645 is 252

2 28, 54, 108
2 14, 27, 54
3 7, 27, 27
3 7, 9, 9
3 7, 3, 3
7, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 7 x 1 x 1 = 756

Least Common Multiple of 28,54,108 with GCF Formula

Least Common Multiple of 28,54,108 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 28,54,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,54,108) = 2

common factors(in case of two or more numbers have common factors) = 108

GCF(28,54,108) x common factors =2 x 108 = 216

LCM(28,54,108) = ( 28 × 54 × 108 ) / 216

LCM(28,54,108) = 163296 / 216

LCM(28,54,108) = 756


Lets's calculate GCF of 429,363,645

3 429, 363, 645
143, 121, 215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 756/3

Therefore the LCM of Fractions 28/429,54/363,108/645 is 252

Greatest Common Factor of 429,363,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,363,645 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 429,363,645 . The biggest common factor number is the GCF number.
So the greatest common factor 429,363,645 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 28/429, 54/363, 108/645

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 28/429, 54/363, 108/645?

Answer: LCM of Numerators as per given numbers 28/429, 54/363, 108/645 is

LCM of Numerators i.e. for 28,54,108 is 756

GCF of denominators i.e. for 429,363,645 is 3.

Thus, LCM of Fractions is 252.Finally, LCM of Fractions for 28/429, 54/363, 108/645 is 252.