Least Common Multiple of 6398/728, 4846/3897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6398/728, 4846/3897 quickly i.e. 15502354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6398/728, 4846/3897 is 15502354.

LCM(6398/728, 4846/3897) = 15502354

LCM of 6398/728, 4846/3897

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 6398/728,4846/3897

Given numbers are 6398/728,4846/3897

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 6398,4846

Least Common Multiple of Numerators i.e. LCM of 6398,4846 is 15502354.

GCF of Denominators means GCF of 728,3897 as per the given fractions.

GCF of 728,3897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6398,4846

LCM of Fractions 6398/728,4846/3897 is 15502354

2 6398, 4846
3199, 2423

∴ So the LCM of the given numbers is 2 x 3199 x 2423 = 15502354

Least Common Multiple of 6398,4846 with GCF Formula

Least Common Multiple of 6398,4846 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 6398,4846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6398,4846) = 2

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

GCF(6398,4846) x common factors =2 x 1 = 2

LCM(6398,4846) = ( 6398 × 4846 ) / 2

LCM(6398,4846) = 31004708 / 2

LCM(6398,4846) = 15502354


Lets's calculate GCF of 728,3897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15502354/1

Therefore the LCM of Fractions 6398/728,4846/3897 is 15502354

Greatest Common Factor of 728,3897 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,3897 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 3897

List of positive integer factors of 3897 that divides 3897 without a remainder.

1,3,9,433,1299,3897

Greatest Common Factor

We found the factors 728,3897 . The biggest common factor number is the GCF number.
So the greatest common factor 728,3897 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 6398/728, 4846/3897

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 6398/728, 4846/3897?

Answer: LCM of Numerators as per given numbers 6398/728, 4846/3897 is

LCM of Numerators i.e. for 6398,4846 is 15502354

GCF of denominators i.e. for 728,3897 is 1.

Thus, LCM of Fractions is 15502354.Finally, LCM of Fractions for 6398/728, 4846/3897 is 15502354.