Least Common Multiple of 384/394, 3947/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/394, 3947/146 quickly i.e. 757824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/394, 3947/146 is 757824.

LCM(384/394, 3947/146) = 757824

LCM of 384/394, 3947/146

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 384/394,3947/146

Given numbers are 384/394,3947/146

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 384,3947

Least Common Multiple of Numerators i.e. LCM of 384,3947 is 1515648.

GCF of Denominators means GCF of 394,146 as per the given fractions.

GCF of 394,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,3947

LCM of Fractions 384/394,3947/146 is 757824

Given numbers has no common factors except 1. So, there LCM is their product i.e 1515648

Least Common Multiple of 384,3947 with GCF Formula

Least Common Multiple of 384,3947 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 384,3947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,3947) = 1

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

GCF(384,3947) x common factors =1 x 1 = 1

LCM(384,3947) = ( 384 × 3947 ) / 1

LCM(384,3947) = 1515648 / 1

LCM(384,3947) = 1515648


Lets's calculate GCF of 394,146

2 394, 146
197, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1515648/2

Therefore the LCM of Fractions 384/394,3947/146 is 757824

Greatest Common Factor of 394,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,146 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 394,146 . The biggest common factor number is the GCF number.
So the greatest common factor 394,146 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 384/394, 3947/146

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 384/394, 3947/146?

Answer: LCM of Numerators as per given numbers 384/394, 3947/146 is

LCM of Numerators i.e. for 384,3947 is 1515648

GCF of denominators i.e. for 394,146 is 2.

Thus, LCM of Fractions is 757824.Finally, LCM of Fractions for 384/394, 3947/146 is 757824.