Least Common Multiple of 75/240, 33/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/240, 33/735 quickly i.e. 55 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/240, 33/735 is 55.

LCM(75/240, 33/735) = 55

LCM of 75/240, 33/735

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 75/240,33/735

Given numbers are 75/240,33/735

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 75,33

Least Common Multiple of Numerators i.e. LCM of 75,33 is 825.

GCF of Denominators means GCF of 240,735 as per the given fractions.

GCF of 240,735 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,33

LCM of Fractions 75/240,33/735 is 55

3 75, 33
25, 11

∴ So the LCM of the given numbers is 3 x 25 x 11 = 825

Least Common Multiple of 75,33 with GCF Formula

Least Common Multiple of 75,33 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 75,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,33) = 3

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

GCF(75,33) x common factors =3 x 1 = 3

LCM(75,33) = ( 75 × 33 ) / 3

LCM(75,33) = 2475 / 3

LCM(75,33) = 825


Lets's calculate GCF of 240,735

3 240, 735
5 80, 245
16, 49

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 825/15

Therefore the LCM of Fractions 75/240,33/735 is 55

Greatest Common Factor of 240,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,735 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 240,735 . The biggest common factor number is the GCF number.
So the greatest common factor 240,735 is 15.


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 75/240, 33/735

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 75/240, 33/735?

Answer: LCM of Numerators as per given numbers 75/240, 33/735 is

LCM of Numerators i.e. for 75,33 is 825

GCF of denominators i.e. for 240,735 is 15.

Thus, LCM of Fractions is 55.Finally, LCM of Fractions for 75/240, 33/735 is 55.