Least Common Multiple of 998/36, 998/30, 301/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/36, 998/30, 301/346 quickly i.e. 150199 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/36, 998/30, 301/346 is 150199.

LCM(998/36, 998/30, 301/346) = 150199

LCM of 998/36, 998/30, 301/346

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 998/36,998/30,301/346

Given numbers are 998/36,998/30,301/346

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 998,998,301

Least Common Multiple of Numerators i.e. LCM of 998,998,301 is 300398.

GCF of Denominators means GCF of 36,30,346 as per the given fractions.

GCF of 36,30,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,998,301

LCM of Fractions 998/36,998/30,301/346 is 150199

2 998, 998, 301
499 499, 499, 301
1, 1, 301

∴ So the LCM of the given numbers is 2 x 499 x 1 x 1 x 301 = 300398

Least Common Multiple of 998,998,301 with GCF Formula

Least Common Multiple of 998,998,301 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 998,998,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,998,301) = 1

common factors(in case of two or more numbers have common factors) = 998

GCF(998,998,301) x common factors =1 x 998 = 998

LCM(998,998,301) = ( 998 × 998 × 301 ) / 998

LCM(998,998,301) = 299797204 / 998

LCM(998,998,301) = 300398


Lets's calculate GCF of 36,30,346

2 36, 30, 346
18, 15, 173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300398/2

Therefore the LCM of Fractions 998/36,998/30,301/346 is 150199

Greatest Common Factor of 36,30,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,30,346 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 36,30,346 . The biggest common factor number is the GCF number.
So the greatest common factor 36,30,346 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 998/36, 998/30, 301/346

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 998/36, 998/30, 301/346?

Answer: LCM of Numerators as per given numbers 998/36, 998/30, 301/346 is

LCM of Numerators i.e. for 998,998,301 is 300398

GCF of denominators i.e. for 36,30,346 is 2.

Thus, LCM of Fractions is 150199.Finally, LCM of Fractions for 998/36, 998/30, 301/346 is 150199.