Least Common Multiple of 33/255, 45/275, 788/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/255, 45/275, 788/702 quickly i.e. 390060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/255, 45/275, 788/702 is 390060.

LCM(33/255, 45/275, 788/702) = 390060

LCM of 33/255, 45/275, 788/702

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 33/255,45/275,788/702

Given numbers are 33/255,45/275,788/702

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 33,45,788

Least Common Multiple of Numerators i.e. LCM of 33,45,788 is 390060.

GCF of Denominators means GCF of 255,275,702 as per the given fractions.

GCF of 255,275,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,45,788

LCM of Fractions 33/255,45/275,788/702 is 390060

3 33, 45, 788
11, 15, 788

∴ So the LCM of the given numbers is 3 x 11 x 15 x 788 = 390060

Least Common Multiple of 33,45,788 with GCF Formula

Least Common Multiple of 33,45,788 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 33,45,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,45,788) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,45,788) x common factors =1 x 3 = 3

LCM(33,45,788) = ( 33 × 45 × 788 ) / 3

LCM(33,45,788) = 1170180 / 3

LCM(33,45,788) = 390060


Lets's calculate GCF of 255,275,702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390060/1

Therefore the LCM of Fractions 33/255,45/275,788/702 is 390060

Greatest Common Factor of 255,275,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,275,702 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 275

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

1,5,11,25,55,275

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 255,275,702 . The biggest common factor number is the GCF number.
So the greatest common factor 255,275,702 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 33/255, 45/275, 788/702

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 33/255, 45/275, 788/702?

Answer: LCM of Numerators as per given numbers 33/255, 45/275, 788/702 is

LCM of Numerators i.e. for 33,45,788 is 390060

GCF of denominators i.e. for 255,275,702 is 1.

Thus, LCM of Fractions is 390060.Finally, LCM of Fractions for 33/255, 45/275, 788/702 is 390060.