Least Common Multiple of 198/96, 975/9985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/96, 975/9985 quickly i.e. 64350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/96, 975/9985 is 64350.

LCM(198/96, 975/9985) = 64350

LCM of 198/96, 975/9985

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 198/96,975/9985

Given numbers are 198/96,975/9985

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 198,975

Least Common Multiple of Numerators i.e. LCM of 198,975 is 64350.

GCF of Denominators means GCF of 96,9985 as per the given fractions.

GCF of 96,9985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,975

LCM of Fractions 198/96,975/9985 is 64350

3 198, 975
66, 325

∴ So the LCM of the given numbers is 3 x 66 x 325 = 64350

Least Common Multiple of 198,975 with GCF Formula

Least Common Multiple of 198,975 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 198,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,975) = 3

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

GCF(198,975) x common factors =3 x 1 = 3

LCM(198,975) = ( 198 × 975 ) / 3

LCM(198,975) = 193050 / 3

LCM(198,975) = 64350


Lets's calculate GCF of 96,9985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64350/1

Therefore the LCM of Fractions 198/96,975/9985 is 64350

Greatest Common Factor of 96,9985 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,9985 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 9985

List of positive integer factors of 9985 that divides 9985 without a remainder.

1,5,1997,9985

Greatest Common Factor

We found the factors 96,9985 . The biggest common factor number is the GCF number.
So the greatest common factor 96,9985 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 198/96, 975/9985

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 198/96, 975/9985?

Answer: LCM of Numerators as per given numbers 198/96, 975/9985 is

LCM of Numerators i.e. for 198,975 is 64350

GCF of denominators i.e. for 96,9985 is 1.

Thus, LCM of Fractions is 64350.Finally, LCM of Fractions for 198/96, 975/9985 is 64350.