Least Common Multiple of 75/30, 27/38, 17/70, 32/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/30, 27/38, 17/70, 32/108 quickly i.e. 183600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/30, 27/38, 17/70, 32/108 is 183600.

LCM(75/30, 27/38, 17/70, 32/108) = 183600

LCM of 75/30, 27/38, 17/70, 32/108

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 75/30,27/38,17/70,32/108

Given numbers are 75/30,27/38,17/70,32/108

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 75,27,17,32

Least Common Multiple of Numerators i.e. LCM of 75,27,17,32 is 367200.

GCF of Denominators means GCF of 30,38,70,108 as per the given fractions.

GCF of 30,38,70,108 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,27,17,32

LCM of Fractions 75/30,27/38,17/70,32/108 is 183600

3 75, 27, 17, 32
25, 9, 17, 32

∴ So the LCM of the given numbers is 3 x 25 x 9 x 17 x 32 = 367200

Least Common Multiple of 75,27,17,32 with GCF Formula

Least Common Multiple of 75,27,17,32 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 75,27,17,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,27,17,32) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,27,17,32) x common factors =1 x 3 = 3

LCM(75,27,17,32) = ( 75 × 27 × 17 × 32 ) / 3

LCM(75,27,17,32) = 1101600 / 3

LCM(75,27,17,32) = 367200


Lets's calculate GCF of 30,38,70,108

2 30, 38, 70, 108
15, 19, 35, 54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367200/2

Therefore the LCM of Fractions 75/30,27/38,17/70,32/108 is 183600

Greatest Common Factor of 30,38,70,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,38,70,108 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 30,38,70,108 . The biggest common factor number is the GCF number.
So the greatest common factor 30,38,70,108 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 75/30, 27/38, 17/70, 32/108

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 75/30, 27/38, 17/70, 32/108?

Answer: LCM of Numerators as per given numbers 75/30, 27/38, 17/70, 32/108 is

LCM of Numerators i.e. for 75,27,17,32 is 367200

GCF of denominators i.e. for 30,38,70,108 is 2.

Thus, LCM of Fractions is 183600.Finally, LCM of Fractions for 75/30, 27/38, 17/70, 32/108 is 183600.