Least Common Multiple of 75/32, 67/90, 75/76, 93/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/32, 67/90, 75/76, 93/908 quickly i.e. 155775/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/32, 67/90, 75/76, 93/908 is 155775/2.

LCM(75/32, 67/90, 75/76, 93/908) = 155775/2

LCM of 75/32, 67/90, 75/76, 93/908

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 75/32,67/90,75/76,93/908

Given numbers are 75/32,67/90,75/76,93/908

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 75,67,75,93

Least Common Multiple of Numerators i.e. LCM of 75,67,75,93 is 155775.

GCF of Denominators means GCF of 32,90,76,908 as per the given fractions.

GCF of 32,90,76,908 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,67,75,93

LCM of Fractions 75/32,67/90,75/76,93/908 is 155775/2

3 75, 67, 75, 93
5 25, 67, 25, 31
5 5, 67, 5, 31
1, 67, 1, 31

∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 67 x 1 x 31 = 155775

Least Common Multiple of 75,67,75,93 with GCF Formula

Least Common Multiple of 75,67,75,93 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 75,67,75,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,67,75,93) = 1

common factors(in case of two or more numbers have common factors) = 225

GCF(75,67,75,93) x common factors =1 x 225 = 225

LCM(75,67,75,93) = ( 75 × 67 × 75 × 93 ) / 225

LCM(75,67,75,93) = 35049375 / 225

LCM(75,67,75,93) = 155775


Lets's calculate GCF of 32,90,76,908

2 32, 90, 76, 908
16, 45, 38, 454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155775/2

Therefore the LCM of Fractions 75/32,67/90,75/76,93/908 is 155775/2

Greatest Common Factor of 32,90,76,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,90,76,908 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 32,90,76,908 . The biggest common factor number is the GCF number.
So the greatest common factor 32,90,76,908 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 75/32, 67/90, 75/76, 93/908

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 75/32, 67/90, 75/76, 93/908?

Answer: LCM of Numerators as per given numbers 75/32, 67/90, 75/76, 93/908 is

LCM of Numerators i.e. for 75,67,75,93 is 155775

GCF of denominators i.e. for 32,90,76,908 is 2.

Thus, LCM of Fractions is 155775/2.Finally, LCM of Fractions for 75/32, 67/90, 75/76, 93/908 is 155775/2.