Least Common Multiple of 361/50, 398/5822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 361/50, 398/5822 quickly i.e. 71839 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 361/50, 398/5822 is 71839.

LCM(361/50, 398/5822) = 71839

LCM of 361/50, 398/5822

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 361/50,398/5822

Given numbers are 361/50,398/5822

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 361,398

Least Common Multiple of Numerators i.e. LCM of 361,398 is 143678.

GCF of Denominators means GCF of 50,5822 as per the given fractions.

GCF of 50,5822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 361,398

LCM of Fractions 361/50,398/5822 is 71839

Given numbers has no common factors except 1. So, there LCM is their product i.e 143678

Least Common Multiple of 361,398 with GCF Formula

Least Common Multiple of 361,398 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 361,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,398) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(361,398) x common factors =1 x 1 = 1

LCM(361,398) = ( 361 × 398 ) / 1

LCM(361,398) = 143678 / 1

LCM(361,398) = 143678


Lets's calculate GCF of 50,5822

2 50, 5822
25, 2911

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143678/2

Therefore the LCM of Fractions 361/50,398/5822 is 71839

Greatest Common Factor of 50,5822 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,5822 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 5822

List of positive integer factors of 5822 that divides 5822 without a remainder.

1,2,41,71,82,142,2911,5822

Greatest Common Factor

We found the factors 50,5822 . The biggest common factor number is the GCF number.
So the greatest common factor 50,5822 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 361/50, 398/5822

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 361/50, 398/5822?

Answer: LCM of Numerators as per given numbers 361/50, 398/5822 is

LCM of Numerators i.e. for 361,398 is 143678

GCF of denominators i.e. for 50,5822 is 2.

Thus, LCM of Fractions is 71839.Finally, LCM of Fractions for 361/50, 398/5822 is 71839.