Least Common Multiple of 198/559, 913/146, 968/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/559, 913/146, 968/150 quickly i.e. 723096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/559, 913/146, 968/150 is 723096.

LCM(198/559, 913/146, 968/150) = 723096

LCM of 198/559, 913/146, 968/150

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 198/559,913/146,968/150

Given numbers are 198/559,913/146,968/150

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 198,913,968

Least Common Multiple of Numerators i.e. LCM of 198,913,968 is 723096.

GCF of Denominators means GCF of 559,146,150 as per the given fractions.

GCF of 559,146,150 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,913,968

LCM of Fractions 198/559,913/146,968/150 is 723096

2 198, 913, 968
11 99, 913, 484
9, 83, 44

∴ So the LCM of the given numbers is 2 x 11 x 9 x 83 x 44 = 723096

Least Common Multiple of 198,913,968 with GCF Formula

Least Common Multiple of 198,913,968 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 198,913,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,913,968) = 11

common factors(in case of two or more numbers have common factors) = 22

GCF(198,913,968) x common factors =11 x 22 = 242

LCM(198,913,968) = ( 198 × 913 × 968 ) / 242

LCM(198,913,968) = 174989232 / 242

LCM(198,913,968) = 723096


Lets's calculate GCF of 559,146,150

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 723096/1

Therefore the LCM of Fractions 198/559,913/146,968/150 is 723096

Greatest Common Factor of 559,146,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,146,150 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 559,146,150 . The biggest common factor number is the GCF number.
So the greatest common factor 559,146,150 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 198/559, 913/146, 968/150

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 198/559, 913/146, 968/150?

Answer: LCM of Numerators as per given numbers 198/559, 913/146, 968/150 is

LCM of Numerators i.e. for 198,913,968 is 723096

GCF of denominators i.e. for 559,146,150 is 1.

Thus, LCM of Fractions is 723096.Finally, LCM of Fractions for 198/559, 913/146, 968/150 is 723096.