Least Common Multiple of 5/28, 36/738, 75/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/28, 36/738, 75/168 quickly i.e. 450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/28, 36/738, 75/168 is 450.

LCM(5/28, 36/738, 75/168) = 450

LCM of 5/28, 36/738, 75/168

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 5/28,36/738,75/168

Given numbers are 5/28,36/738,75/168

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 5,36,75

Least Common Multiple of Numerators i.e. LCM of 5,36,75 is 900.

GCF of Denominators means GCF of 28,738,168 as per the given fractions.

GCF of 28,738,168 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,36,75

LCM of Fractions 5/28,36/738,75/168 is 450

3 5, 36, 75
5 5, 12, 25
1, 12, 5

∴ So the LCM of the given numbers is 3 x 5 x 1 x 12 x 5 = 900

Least Common Multiple of 5,36,75 with GCF Formula

Least Common Multiple of 5,36,75 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 5,36,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,36,75) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(5,36,75) x common factors =1 x 15 = 15

LCM(5,36,75) = ( 5 × 36 × 75 ) / 15

LCM(5,36,75) = 13500 / 15

LCM(5,36,75) = 900


Lets's calculate GCF of 28,738,168

2 28, 738, 168
14, 369, 84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 900/2

Therefore the LCM of Fractions 5/28,36/738,75/168 is 450

Greatest Common Factor of 28,738,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,738,168 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 28,738,168 . The biggest common factor number is the GCF number.
So the greatest common factor 28,738,168 is 2.


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 5/28, 36/738, 75/168

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 5/28, 36/738, 75/168?

Answer: LCM of Numerators as per given numbers 5/28, 36/738, 75/168 is

LCM of Numerators i.e. for 5,36,75 is 900

GCF of denominators i.e. for 28,738,168 is 2.

Thus, LCM of Fractions is 450.Finally, LCM of Fractions for 5/28, 36/738, 75/168 is 450.