Least Common Multiple of 123/75, 241/30, 312/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/75, 241/30, 312/199 quickly i.e. 3082872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/75, 241/30, 312/199 is 3082872.

LCM(123/75, 241/30, 312/199) = 3082872

LCM of 123/75, 241/30, 312/199

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 123/75,241/30,312/199

Given numbers are 123/75,241/30,312/199

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 123,241,312

Least Common Multiple of Numerators i.e. LCM of 123,241,312 is 3082872.

GCF of Denominators means GCF of 75,30,199 as per the given fractions.

GCF of 75,30,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,241,312

LCM of Fractions 123/75,241/30,312/199 is 3082872

3 123, 241, 312
41, 241, 104

∴ So the LCM of the given numbers is 3 x 41 x 241 x 104 = 3082872

Least Common Multiple of 123,241,312 with GCF Formula

Least Common Multiple of 123,241,312 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 123,241,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,241,312) = 1

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

GCF(123,241,312) x common factors =1 x 3 = 3

LCM(123,241,312) = ( 123 × 241 × 312 ) / 3

LCM(123,241,312) = 9248616 / 3

LCM(123,241,312) = 3082872


Lets's calculate GCF of 75,30,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3082872/1

Therefore the LCM of Fractions 123/75,241/30,312/199 is 3082872

Greatest Common Factor of 75,30,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,30,199 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 30

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

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

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 75,30,199 . The biggest common factor number is the GCF number.
So the greatest common factor 75,30,199 is 1.


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 123/75, 241/30, 312/199

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 123/75, 241/30, 312/199?

Answer: LCM of Numerators as per given numbers 123/75, 241/30, 312/199 is

LCM of Numerators i.e. for 123,241,312 is 3082872

GCF of denominators i.e. for 75,30,199 is 1.

Thus, LCM of Fractions is 3082872.Finally, LCM of Fractions for 123/75, 241/30, 312/199 is 3082872.