Least Common Multiple of 33/55, 79/280, 231/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/55, 79/280, 231/275 quickly i.e. 18249/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/55, 79/280, 231/275 is 18249/5.

LCM(33/55, 79/280, 231/275) = 18249/5

LCM of 33/55, 79/280, 231/275

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 33/55,79/280,231/275

Given numbers are 33/55,79/280,231/275

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 33,79,231

Least Common Multiple of Numerators i.e. LCM of 33,79,231 is 18249.

GCF of Denominators means GCF of 55,280,275 as per the given fractions.

GCF of 55,280,275 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,79,231

LCM of Fractions 33/55,79/280,231/275 is 18249/5

3 33, 79, 231
11 11, 79, 77
1, 79, 7

∴ So the LCM of the given numbers is 3 x 11 x 1 x 79 x 7 = 18249

Least Common Multiple of 33,79,231 with GCF Formula

Least Common Multiple of 33,79,231 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 33,79,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,79,231) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(33,79,231) x common factors =1 x 33 = 33

LCM(33,79,231) = ( 33 × 79 × 231 ) / 33

LCM(33,79,231) = 602217 / 33

LCM(33,79,231) = 18249


Lets's calculate GCF of 55,280,275

5 55, 280, 275
11, 56, 55

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18249/5

Therefore the LCM of Fractions 33/55,79/280,231/275 is 18249/5

Greatest Common Factor of 55,280,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,280,275 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 55,280,275 . The biggest common factor number is the GCF number.
So the greatest common factor 55,280,275 is 5.


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 33/55, 79/280, 231/275

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 33/55, 79/280, 231/275?

Answer: LCM of Numerators as per given numbers 33/55, 79/280, 231/275 is

LCM of Numerators i.e. for 33,79,231 is 18249

GCF of denominators i.e. for 55,280,275 is 5.

Thus, LCM of Fractions is 18249/5.Finally, LCM of Fractions for 33/55, 79/280, 231/275 is 18249/5.