Least Common Multiple of 13/198, 103/817, 974/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/198, 103/817, 974/416 quickly i.e. 1304186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/198, 103/817, 974/416 is 1304186.

LCM(13/198, 103/817, 974/416) = 1304186

LCM of 13/198, 103/817, 974/416

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 13/198,103/817,974/416

Given numbers are 13/198,103/817,974/416

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 13,103,974

Least Common Multiple of Numerators i.e. LCM of 13,103,974 is 1304186.

GCF of Denominators means GCF of 198,817,416 as per the given fractions.

GCF of 198,817,416 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,103,974

LCM of Fractions 13/198,103/817,974/416 is 1304186

Given numbers has no common factors except 1. So, there LCM is their product i.e 1304186

Least Common Multiple of 13,103,974 with GCF Formula

Least Common Multiple of 13,103,974 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 13,103,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,103,974) = 1

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

GCF(13,103,974) x common factors =1 x 1 = 1

LCM(13,103,974) = ( 13 × 103 × 974 ) / 1

LCM(13,103,974) = 1304186 / 1

LCM(13,103,974) = 1304186


Lets's calculate GCF of 198,817,416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1304186/1

Therefore the LCM of Fractions 13/198,103/817,974/416 is 1304186

Greatest Common Factor of 198,817,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,817,416 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 198,817,416 . The biggest common factor number is the GCF number.
So the greatest common factor 198,817,416 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 13/198, 103/817, 974/416

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 13/198, 103/817, 974/416?

Answer: LCM of Numerators as per given numbers 13/198, 103/817, 974/416 is

LCM of Numerators i.e. for 13,103,974 is 1304186

GCF of denominators i.e. for 198,817,416 is 1.

Thus, LCM of Fractions is 1304186.Finally, LCM of Fractions for 13/198, 103/817, 974/416 is 1304186.