Least Common Multiple of 6368/382, 8093/3592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6368/382, 8093/3592 quickly i.e. 25768112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6368/382, 8093/3592 is 25768112.

LCM(6368/382, 8093/3592) = 25768112

LCM of 6368/382, 8093/3592

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 6368/382,8093/3592

Given numbers are 6368/382,8093/3592

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 6368,8093

Least Common Multiple of Numerators i.e. LCM of 6368,8093 is 51536224.

GCF of Denominators means GCF of 382,3592 as per the given fractions.

GCF of 382,3592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6368,8093

LCM of Fractions 6368/382,8093/3592 is 25768112

Given numbers has no common factors except 1. So, there LCM is their product i.e 51536224

Least Common Multiple of 6368,8093 with GCF Formula

Least Common Multiple of 6368,8093 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 6368,8093 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6368,8093) = 1

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

GCF(6368,8093) x common factors =1 x 1 = 1

LCM(6368,8093) = ( 6368 × 8093 ) / 1

LCM(6368,8093) = 51536224 / 1

LCM(6368,8093) = 51536224


Lets's calculate GCF of 382,3592

2 382, 3592
191, 1796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51536224/2

Therefore the LCM of Fractions 6368/382,8093/3592 is 25768112

Greatest Common Factor of 382,3592 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,3592 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 3592

List of positive integer factors of 3592 that divides 3592 without a remainder.

1,2,4,8,449,898,1796,3592

Greatest Common Factor

We found the factors 382,3592 . The biggest common factor number is the GCF number.
So the greatest common factor 382,3592 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 6368/382, 8093/3592

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 6368/382, 8093/3592?

Answer: LCM of Numerators as per given numbers 6368/382, 8093/3592 is

LCM of Numerators i.e. for 6368,8093 is 51536224

GCF of denominators i.e. for 382,3592 is 2.

Thus, LCM of Fractions is 25768112.Finally, LCM of Fractions for 6368/382, 8093/3592 is 25768112.