Least Common Multiple of 38/75, 93/81, 50/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/75, 93/81, 50/130 quickly i.e. 88350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/75, 93/81, 50/130 is 88350.

LCM(38/75, 93/81, 50/130) = 88350

LCM of 38/75, 93/81, 50/130

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 38/75,93/81,50/130

Given numbers are 38/75,93/81,50/130

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 38,93,50

Least Common Multiple of Numerators i.e. LCM of 38,93,50 is 88350.

GCF of Denominators means GCF of 75,81,130 as per the given fractions.

GCF of 75,81,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,93,50

LCM of Fractions 38/75,93/81,50/130 is 88350

2 38, 93, 50
19, 93, 25

∴ So the LCM of the given numbers is 2 x 19 x 93 x 25 = 88350

Least Common Multiple of 38,93,50 with GCF Formula

Least Common Multiple of 38,93,50 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 38,93,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,93,50) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,93,50) x common factors =1 x 2 = 2

LCM(38,93,50) = ( 38 × 93 × 50 ) / 2

LCM(38,93,50) = 176700 / 2

LCM(38,93,50) = 88350


Lets's calculate GCF of 75,81,130

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88350/1

Therefore the LCM of Fractions 38/75,93/81,50/130 is 88350

Greatest Common Factor of 75,81,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,81,130 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 75,81,130 . The biggest common factor number is the GCF number.
So the greatest common factor 75,81,130 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/75, 93/81, 50/130

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 38/75, 93/81, 50/130?

Answer: LCM of Numerators as per given numbers 38/75, 93/81, 50/130 is

LCM of Numerators i.e. for 38,93,50 is 88350

GCF of denominators i.e. for 75,81,130 is 1.

Thus, LCM of Fractions is 88350.Finally, LCM of Fractions for 38/75, 93/81, 50/130 is 88350.