Least Common Multiple of 33/711, 513/687, 266/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/711, 513/687, 266/815 quickly i.e. 79002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/711, 513/687, 266/815 is 79002.

LCM(33/711, 513/687, 266/815) = 79002

LCM of 33/711, 513/687, 266/815

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 33/711,513/687,266/815

Given numbers are 33/711,513/687,266/815

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 33,513,266

Least Common Multiple of Numerators i.e. LCM of 33,513,266 is 79002.

GCF of Denominators means GCF of 711,687,815 as per the given fractions.

GCF of 711,687,815 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,513,266

LCM of Fractions 33/711,513/687,266/815 is 79002

3 33, 513, 266
19 11, 171, 266
11, 9, 14

∴ So the LCM of the given numbers is 3 x 19 x 11 x 9 x 14 = 79002

Least Common Multiple of 33,513,266 with GCF Formula

Least Common Multiple of 33,513,266 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 33,513,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,513,266) = 1

common factors(in case of two or more numbers have common factors) = 57

GCF(33,513,266) x common factors =1 x 57 = 57

LCM(33,513,266) = ( 33 × 513 × 266 ) / 57

LCM(33,513,266) = 4503114 / 57

LCM(33,513,266) = 79002


Lets's calculate GCF of 711,687,815

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79002/1

Therefore the LCM of Fractions 33/711,513/687,266/815 is 79002

Greatest Common Factor of 711,687,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,687,815 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 711,687,815 . The biggest common factor number is the GCF number.
So the greatest common factor 711,687,815 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 33/711, 513/687, 266/815

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 33/711, 513/687, 266/815?

Answer: LCM of Numerators as per given numbers 33/711, 513/687, 266/815 is

LCM of Numerators i.e. for 33,513,266 is 79002

GCF of denominators i.e. for 711,687,815 is 1.

Thus, LCM of Fractions is 79002.Finally, LCM of Fractions for 33/711, 513/687, 266/815 is 79002.