Least Common Multiple of 785/75, 215/6555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 785/75, 215/6555 quickly i.e. 33755/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 785/75, 215/6555 is 33755/15.

LCM(785/75, 215/6555) = 33755/15

LCM of 785/75, 215/6555

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 785/75,215/6555

Given numbers are 785/75,215/6555

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 785,215

Least Common Multiple of Numerators i.e. LCM of 785,215 is 33755.

GCF of Denominators means GCF of 75,6555 as per the given fractions.

GCF of 75,6555 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 785,215

LCM of Fractions 785/75,215/6555 is 33755/15

5 785, 215
157, 43

∴ So the LCM of the given numbers is 5 x 157 x 43 = 33755

Least Common Multiple of 785,215 with GCF Formula

Least Common Multiple of 785,215 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 785,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,215) = 5

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

GCF(785,215) x common factors =5 x 1 = 5

LCM(785,215) = ( 785 × 215 ) / 5

LCM(785,215) = 168775 / 5

LCM(785,215) = 33755


Lets's calculate GCF of 75,6555

3 75, 6555
5 25, 2185
5, 437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33755/15

Therefore the LCM of Fractions 785/75,215/6555 is 33755/15

Greatest Common Factor of 75,6555 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,6555 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 6555

List of positive integer factors of 6555 that divides 6555 without a remainder.

1,3,5,15,19,23,57,69,95,115,285,345,437,1311,2185,6555

Greatest Common Factor

We found the factors 75,6555 . The biggest common factor number is the GCF number.
So the greatest common factor 75,6555 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 785/75, 215/6555

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 785/75, 215/6555?

Answer: LCM of Numerators as per given numbers 785/75, 215/6555 is

LCM of Numerators i.e. for 785,215 is 33755

GCF of denominators i.e. for 75,6555 is 15.

Thus, LCM of Fractions is 33755/15.Finally, LCM of Fractions for 785/75, 215/6555 is 33755/15.