Least Common Multiple of 864/175, 198/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/175, 198/205 quickly i.e. 9504/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/175, 198/205 is 9504/5.

LCM(864/175, 198/205) = 9504/5

LCM of 864/175, 198/205

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 864/175,198/205

Given numbers are 864/175,198/205

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 864,198

Least Common Multiple of Numerators i.e. LCM of 864,198 is 9504.

GCF of Denominators means GCF of 175,205 as per the given fractions.

GCF of 175,205 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,198

LCM of Fractions 864/175,198/205 is 9504/5

2 864, 198
3 432, 99
3 144, 33
48, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 48 x 11 = 9504

Least Common Multiple of 864,198 with GCF Formula

Least Common Multiple of 864,198 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 864,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,198) = 18

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

GCF(864,198) x common factors =18 x 1 = 18

LCM(864,198) = ( 864 × 198 ) / 18

LCM(864,198) = 171072 / 18

LCM(864,198) = 9504


Lets's calculate GCF of 175,205

5 175, 205
35, 41

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9504/5

Therefore the LCM of Fractions 864/175,198/205 is 9504/5

Greatest Common Factor of 175,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,205 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 175,205 . The biggest common factor number is the GCF number.
So the greatest common factor 175,205 is 5.


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 864/175, 198/205

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 864/175, 198/205?

Answer: LCM of Numerators as per given numbers 864/175, 198/205 is

LCM of Numerators i.e. for 864,198 is 9504

GCF of denominators i.e. for 175,205 is 5.

Thus, LCM of Fractions is 9504/5.Finally, LCM of Fractions for 864/175, 198/205 is 9504/5.