Least Common Multiple of 59/608, 89/818, 198/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/608, 89/818, 198/324 quickly i.e. 519849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/608, 89/818, 198/324 is 519849.

LCM(59/608, 89/818, 198/324) = 519849

LCM of 59/608, 89/818, 198/324

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 59/608,89/818,198/324

Given numbers are 59/608,89/818,198/324

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 59,89,198

Least Common Multiple of Numerators i.e. LCM of 59,89,198 is 1039698.

GCF of Denominators means GCF of 608,818,324 as per the given fractions.

GCF of 608,818,324 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,89,198

LCM of Fractions 59/608,89/818,198/324 is 519849

Given numbers has no common factors except 1. So, there LCM is their product i.e 1039698

Least Common Multiple of 59,89,198 with GCF Formula

Least Common Multiple of 59,89,198 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 59,89,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,89,198) = 1

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

GCF(59,89,198) x common factors =1 x 1 = 1

LCM(59,89,198) = ( 59 × 89 × 198 ) / 1

LCM(59,89,198) = 1039698 / 1

LCM(59,89,198) = 1039698


Lets's calculate GCF of 608,818,324

2 608, 818, 324
304, 409, 162

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1039698/2

Therefore the LCM of Fractions 59/608,89/818,198/324 is 519849

Greatest Common Factor of 608,818,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,818,324 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 608,818,324 . The biggest common factor number is the GCF number.
So the greatest common factor 608,818,324 is 2.


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 59/608, 89/818, 198/324

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 59/608, 89/818, 198/324?

Answer: LCM of Numerators as per given numbers 59/608, 89/818, 198/324 is

LCM of Numerators i.e. for 59,89,198 is 1039698

GCF of denominators i.e. for 608,818,324 is 2.

Thus, LCM of Fractions is 519849.Finally, LCM of Fractions for 59/608, 89/818, 198/324 is 519849.