Least Common Multiple of 198/855, 2764/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/855, 2764/264 quickly i.e. 91212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/855, 2764/264 is 91212.

LCM(198/855, 2764/264) = 91212

LCM of 198/855, 2764/264

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 198/855,2764/264

Given numbers are 198/855,2764/264

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 198,2764

Least Common Multiple of Numerators i.e. LCM of 198,2764 is 273636.

GCF of Denominators means GCF of 855,264 as per the given fractions.

GCF of 855,264 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,2764

LCM of Fractions 198/855,2764/264 is 91212

2 198, 2764
99, 1382

∴ So the LCM of the given numbers is 2 x 99 x 1382 = 273636

Least Common Multiple of 198,2764 with GCF Formula

Least Common Multiple of 198,2764 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 198,2764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,2764) = 2

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

GCF(198,2764) x common factors =2 x 1 = 2

LCM(198,2764) = ( 198 × 2764 ) / 2

LCM(198,2764) = 547272 / 2

LCM(198,2764) = 273636


Lets's calculate GCF of 855,264

3 855, 264
285, 88

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273636/3

Therefore the LCM of Fractions 198/855,2764/264 is 91212

Greatest Common Factor of 855,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,264 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 855,264 . The biggest common factor number is the GCF number.
So the greatest common factor 855,264 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 198/855, 2764/264

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 198/855, 2764/264?

Answer: LCM of Numerators as per given numbers 198/855, 2764/264 is

LCM of Numerators i.e. for 198,2764 is 273636

GCF of denominators i.e. for 855,264 is 3.

Thus, LCM of Fractions is 91212.Finally, LCM of Fractions for 198/855, 2764/264 is 91212.