Least Common Multiple of 998/33, 9474/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/33, 9474/996 quickly i.e. 1575842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/33, 9474/996 is 1575842.

LCM(998/33, 9474/996) = 1575842

LCM of 998/33, 9474/996

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 998/33,9474/996

Given numbers are 998/33,9474/996

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 998,9474

Least Common Multiple of Numerators i.e. LCM of 998,9474 is 4727526.

GCF of Denominators means GCF of 33,996 as per the given fractions.

GCF of 33,996 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,9474

LCM of Fractions 998/33,9474/996 is 1575842

2 998, 9474
499, 4737

∴ So the LCM of the given numbers is 2 x 499 x 4737 = 4727526

Least Common Multiple of 998,9474 with GCF Formula

Least Common Multiple of 998,9474 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 998,9474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,9474) = 2

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

GCF(998,9474) x common factors =2 x 1 = 2

LCM(998,9474) = ( 998 × 9474 ) / 2

LCM(998,9474) = 9455052 / 2

LCM(998,9474) = 4727526


Lets's calculate GCF of 33,996

3 33, 996
11, 332

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4727526/3

Therefore the LCM of Fractions 998/33,9474/996 is 1575842

Greatest Common Factor of 33,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,996 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 33,996 . The biggest common factor number is the GCF number.
So the greatest common factor 33,996 is 3.


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 998/33, 9474/996

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 998/33, 9474/996?

Answer: LCM of Numerators as per given numbers 998/33, 9474/996 is

LCM of Numerators i.e. for 998,9474 is 4727526

GCF of denominators i.e. for 33,996 is 3.

Thus, LCM of Fractions is 1575842.Finally, LCM of Fractions for 998/33, 9474/996 is 1575842.