Least Common Multiple of 82/389, 9522/3875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/389, 9522/3875 quickly i.e. 390402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/389, 9522/3875 is 390402.

LCM(82/389, 9522/3875) = 390402

LCM of 82/389, 9522/3875

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 82/389,9522/3875

Given numbers are 82/389,9522/3875

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 82,9522

Least Common Multiple of Numerators i.e. LCM of 82,9522 is 390402.

GCF of Denominators means GCF of 389,3875 as per the given fractions.

GCF of 389,3875 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,9522

LCM of Fractions 82/389,9522/3875 is 390402

2 82, 9522
41, 4761

∴ So the LCM of the given numbers is 2 x 41 x 4761 = 390402

Least Common Multiple of 82,9522 with GCF Formula

Least Common Multiple of 82,9522 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 82,9522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,9522) = 2

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

GCF(82,9522) x common factors =2 x 1 = 2

LCM(82,9522) = ( 82 × 9522 ) / 2

LCM(82,9522) = 780804 / 2

LCM(82,9522) = 390402


Lets's calculate GCF of 389,3875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390402/1

Therefore the LCM of Fractions 82/389,9522/3875 is 390402

Greatest Common Factor of 389,3875 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,3875 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 3875

List of positive integer factors of 3875 that divides 3875 without a remainder.

1,5,25,31,125,155,775,3875

Greatest Common Factor

We found the factors 389,3875 . The biggest common factor number is the GCF number.
So the greatest common factor 389,3875 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 82/389, 9522/3875

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 82/389, 9522/3875?

Answer: LCM of Numerators as per given numbers 82/389, 9522/3875 is

LCM of Numerators i.e. for 82,9522 is 390402

GCF of denominators i.e. for 389,3875 is 1.

Thus, LCM of Fractions is 390402.Finally, LCM of Fractions for 82/389, 9522/3875 is 390402.