Least Common Multiple of 4789/395, 3924/9364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4789/395, 3924/9364 quickly i.e. 18792036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4789/395, 3924/9364 is 18792036.

LCM(4789/395, 3924/9364) = 18792036

LCM of 4789/395, 3924/9364

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 4789/395,3924/9364

Given numbers are 4789/395,3924/9364

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 4789,3924

Least Common Multiple of Numerators i.e. LCM of 4789,3924 is 18792036.

GCF of Denominators means GCF of 395,9364 as per the given fractions.

GCF of 395,9364 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4789,3924

LCM of Fractions 4789/395,3924/9364 is 18792036

Given numbers has no common factors except 1. So, there LCM is their product i.e 18792036

Least Common Multiple of 4789,3924 with GCF Formula

Least Common Multiple of 4789,3924 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 4789,3924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4789,3924) = 1

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

GCF(4789,3924) x common factors =1 x 1 = 1

LCM(4789,3924) = ( 4789 × 3924 ) / 1

LCM(4789,3924) = 18792036 / 1

LCM(4789,3924) = 18792036


Lets's calculate GCF of 395,9364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18792036/1

Therefore the LCM of Fractions 4789/395,3924/9364 is 18792036

Greatest Common Factor of 395,9364 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,9364 By Matching Biggest Common Factor Method

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 9364

List of positive integer factors of 9364 that divides 9364 without a remainder.

1,2,4,2341,4682,9364

Greatest Common Factor

We found the factors 395,9364 . The biggest common factor number is the GCF number.
So the greatest common factor 395,9364 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4789/395, 3924/9364

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 4789/395, 3924/9364?

Answer: LCM of Numerators as per given numbers 4789/395, 3924/9364 is

LCM of Numerators i.e. for 4789,3924 is 18792036

GCF of denominators i.e. for 395,9364 is 1.

Thus, LCM of Fractions is 18792036.Finally, LCM of Fractions for 4789/395, 3924/9364 is 18792036.