Least Common Multiple of 198/47, 330/4805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/47, 330/4805 quickly i.e. 990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/47, 330/4805 is 990.

LCM(198/47, 330/4805) = 990

LCM of 198/47, 330/4805

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 198/47,330/4805

Given numbers are 198/47,330/4805

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 198,330

Least Common Multiple of Numerators i.e. LCM of 198,330 is 990.

GCF of Denominators means GCF of 47,4805 as per the given fractions.

GCF of 47,4805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,330

LCM of Fractions 198/47,330/4805 is 990

2 198, 330
3 99, 165
11 33, 55
3, 5

∴ So the LCM of the given numbers is 2 x 3 x 11 x 3 x 5 = 990

Least Common Multiple of 198,330 with GCF Formula

Least Common Multiple of 198,330 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 198,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,330) = 66

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

GCF(198,330) x common factors =66 x 1 = 66

LCM(198,330) = ( 198 × 330 ) / 66

LCM(198,330) = 65340 / 66

LCM(198,330) = 990


Lets's calculate GCF of 47,4805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 990/1

Therefore the LCM of Fractions 198/47,330/4805 is 990

Greatest Common Factor of 47,4805 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,4805 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 4805

List of positive integer factors of 4805 that divides 4805 without a remainder.

1,5,31,155,961,4805

Greatest Common Factor

We found the factors 47,4805 . The biggest common factor number is the GCF number.
So the greatest common factor 47,4805 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 198/47, 330/4805

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 198/47, 330/4805?

Answer: LCM of Numerators as per given numbers 198/47, 330/4805 is

LCM of Numerators i.e. for 198,330 is 990

GCF of denominators i.e. for 47,4805 is 1.

Thus, LCM of Fractions is 990.Finally, LCM of Fractions for 198/47, 330/4805 is 990.