Least Common Multiple of 393/98, 6198/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 393/98, 6198/428 quickly i.e. 405969 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 393/98, 6198/428 is 405969.

LCM(393/98, 6198/428) = 405969

LCM of 393/98, 6198/428

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 393/98,6198/428

Given numbers are 393/98,6198/428

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 393,6198

Least Common Multiple of Numerators i.e. LCM of 393,6198 is 811938.

GCF of Denominators means GCF of 98,428 as per the given fractions.

GCF of 98,428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 393,6198

LCM of Fractions 393/98,6198/428 is 405969

3 393, 6198
131, 2066

∴ So the LCM of the given numbers is 3 x 131 x 2066 = 811938

Least Common Multiple of 393,6198 with GCF Formula

Least Common Multiple of 393,6198 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 393,6198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,6198) = 3

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

GCF(393,6198) x common factors =3 x 1 = 3

LCM(393,6198) = ( 393 × 6198 ) / 3

LCM(393,6198) = 2435814 / 3

LCM(393,6198) = 811938


Lets's calculate GCF of 98,428

2 98, 428
49, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 811938/2

Therefore the LCM of Fractions 393/98,6198/428 is 405969

Greatest Common Factor of 98,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,428 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 98,428 . The biggest common factor number is the GCF number.
So the greatest common factor 98,428 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 393/98, 6198/428

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 393/98, 6198/428?

Answer: LCM of Numerators as per given numbers 393/98, 6198/428 is

LCM of Numerators i.e. for 393,6198 is 811938

GCF of denominators i.e. for 98,428 is 2.

Thus, LCM of Fractions is 405969.Finally, LCM of Fractions for 393/98, 6198/428 is 405969.