Least Common Multiple of 513/33, 7107/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/33, 7107/804 quickly i.e. 405099 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/33, 7107/804 is 405099.

LCM(513/33, 7107/804) = 405099

LCM of 513/33, 7107/804

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 513/33,7107/804

Given numbers are 513/33,7107/804

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 513,7107

Least Common Multiple of Numerators i.e. LCM of 513,7107 is 1215297.

GCF of Denominators means GCF of 33,804 as per the given fractions.

GCF of 33,804 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,7107

LCM of Fractions 513/33,7107/804 is 405099

3 513, 7107
171, 2369

∴ So the LCM of the given numbers is 3 x 171 x 2369 = 1215297

Least Common Multiple of 513,7107 with GCF Formula

Least Common Multiple of 513,7107 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 513,7107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,7107) = 3

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

GCF(513,7107) x common factors =3 x 1 = 3

LCM(513,7107) = ( 513 × 7107 ) / 3

LCM(513,7107) = 3645891 / 3

LCM(513,7107) = 1215297


Lets's calculate GCF of 33,804

3 33, 804
11, 268

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1215297/3

Therefore the LCM of Fractions 513/33,7107/804 is 405099

Greatest Common Factor of 33,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,804 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 33,804 . The biggest common factor number is the GCF number.
So the greatest common factor 33,804 is 3.


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 513/33, 7107/804

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 513/33, 7107/804?

Answer: LCM of Numerators as per given numbers 513/33, 7107/804 is

LCM of Numerators i.e. for 513,7107 is 1215297

GCF of denominators i.e. for 33,804 is 3.

Thus, LCM of Fractions is 405099.Finally, LCM of Fractions for 513/33, 7107/804 is 405099.