Least Common Multiple of 297/33, 546/9988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/33, 546/9988 quickly i.e. 4914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/33, 546/9988 is 4914.

LCM(297/33, 546/9988) = 4914

LCM of 297/33, 546/9988

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 297/33,546/9988

Given numbers are 297/33,546/9988

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 297,546

Least Common Multiple of Numerators i.e. LCM of 297,546 is 54054.

GCF of Denominators means GCF of 33,9988 as per the given fractions.

GCF of 33,9988 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,546

LCM of Fractions 297/33,546/9988 is 4914

3 297, 546
99, 182

∴ So the LCM of the given numbers is 3 x 99 x 182 = 54054

Least Common Multiple of 297,546 with GCF Formula

Least Common Multiple of 297,546 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 297,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,546) = 3

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

GCF(297,546) x common factors =3 x 1 = 3

LCM(297,546) = ( 297 × 546 ) / 3

LCM(297,546) = 162162 / 3

LCM(297,546) = 54054


Lets's calculate GCF of 33,9988

11 33, 9988
3, 908

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54054/11

Therefore the LCM of Fractions 297/33,546/9988 is 4914

Greatest Common Factor of 33,9988 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,9988 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 9988

List of positive integer factors of 9988 that divides 9988 without a remainder.

1,2,4,11,22,44,227,454,908,2497,4994,9988

Greatest Common Factor

We found the factors 33,9988 . The biggest common factor number is the GCF number.
So the greatest common factor 33,9988 is 11.


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 297/33, 546/9988

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 297/33, 546/9988?

Answer: LCM of Numerators as per given numbers 297/33, 546/9988 is

LCM of Numerators i.e. for 297,546 is 54054

GCF of denominators i.e. for 33,9988 is 11.

Thus, LCM of Fractions is 4914.Finally, LCM of Fractions for 297/33, 546/9988 is 4914.