Least Common Multiple of 6388/40, 2396/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6388/40, 2396/200 quickly i.e. 3826412/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6388/40, 2396/200 is 3826412/40.

LCM(6388/40, 2396/200) = 3826412/40

LCM of 6388/40, 2396/200

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 6388/40,2396/200

Given numbers are 6388/40,2396/200

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 6388,2396

Least Common Multiple of Numerators i.e. LCM of 6388,2396 is 3826412.

GCF of Denominators means GCF of 40,200 as per the given fractions.

GCF of 40,200 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6388,2396

LCM of Fractions 6388/40,2396/200 is 3826412/40

2 6388, 2396
2 3194, 1198
1597, 599

∴ So the LCM of the given numbers is 2 x 2 x 1597 x 599 = 3826412

Least Common Multiple of 6388,2396 with GCF Formula

Least Common Multiple of 6388,2396 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 6388,2396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6388,2396) = 4

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

GCF(6388,2396) x common factors =4 x 1 = 4

LCM(6388,2396) = ( 6388 × 2396 ) / 4

LCM(6388,2396) = 15305648 / 4

LCM(6388,2396) = 3826412


Lets's calculate GCF of 40,200

2 40, 200
2 20, 100
2 10, 50
5 5, 25
1, 5

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3826412/40

Therefore the LCM of Fractions 6388/40,2396/200 is 3826412/40

Greatest Common Factor of 40,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,200 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 40,200 . The biggest common factor number is the GCF number.
So the greatest common factor 40,200 is 40.


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 6388/40, 2396/200

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 6388/40, 2396/200?

Answer: LCM of Numerators as per given numbers 6388/40, 2396/200 is

LCM of Numerators i.e. for 6388,2396 is 3826412

GCF of denominators i.e. for 40,200 is 40.

Thus, LCM of Fractions is 3826412/40.Finally, LCM of Fractions for 6388/40, 2396/200 is 3826412/40.