Least Common Multiple of 369/198, 9432/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/198, 9432/315 quickly i.e. 42968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/198, 9432/315 is 42968.

LCM(369/198, 9432/315) = 42968

LCM of 369/198, 9432/315

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 369/198,9432/315

Given numbers are 369/198,9432/315

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 369,9432

Least Common Multiple of Numerators i.e. LCM of 369,9432 is 386712.

GCF of Denominators means GCF of 198,315 as per the given fractions.

GCF of 198,315 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,9432

LCM of Fractions 369/198,9432/315 is 42968

3 369, 9432
3 123, 3144
41, 1048

∴ So the LCM of the given numbers is 3 x 3 x 41 x 1048 = 386712

Least Common Multiple of 369,9432 with GCF Formula

Least Common Multiple of 369,9432 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 369,9432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,9432) = 9

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

GCF(369,9432) x common factors =9 x 1 = 9

LCM(369,9432) = ( 369 × 9432 ) / 9

LCM(369,9432) = 3480408 / 9

LCM(369,9432) = 386712


Lets's calculate GCF of 198,315

3 198, 315
3 66, 105
22, 35

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386712/9

Therefore the LCM of Fractions 369/198,9432/315 is 42968

Greatest Common Factor of 198,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,315 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 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 198,315 . The biggest common factor number is the GCF number.
So the greatest common factor 198,315 is 9.


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 369/198, 9432/315

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 369/198, 9432/315?

Answer: LCM of Numerators as per given numbers 369/198, 9432/315 is

LCM of Numerators i.e. for 369,9432 is 386712

GCF of denominators i.e. for 198,315 is 9.

Thus, LCM of Fractions is 42968.Finally, LCM of Fractions for 369/198, 9432/315 is 42968.