Least Common Multiple of 66/660, 65/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/660, 65/513 quickly i.e. 1430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/660, 65/513 is 1430.

LCM(66/660, 65/513) = 1430

LCM of 66/660, 65/513

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 66/660,65/513

Given numbers are 66/660,65/513

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 66,65

Least Common Multiple of Numerators i.e. LCM of 66,65 is 4290.

GCF of Denominators means GCF of 660,513 as per the given fractions.

GCF of 660,513 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,65

LCM of Fractions 66/660,65/513 is 1430

Given numbers has no common factors except 1. So, there LCM is their product i.e 4290

Least Common Multiple of 66,65 with GCF Formula

Least Common Multiple of 66,65 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 66,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,65) = 1

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

GCF(66,65) x common factors =1 x 1 = 1

LCM(66,65) = ( 66 × 65 ) / 1

LCM(66,65) = 4290 / 1

LCM(66,65) = 4290


Lets's calculate GCF of 660,513

3 660, 513
220, 171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4290/3

Therefore the LCM of Fractions 66/660,65/513 is 1430

Greatest Common Factor of 660,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,513 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 660,513 . The biggest common factor number is the GCF number.
So the greatest common factor 660,513 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 66/660, 65/513

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 66/660, 65/513?

Answer: LCM of Numerators as per given numbers 66/660, 65/513 is

LCM of Numerators i.e. for 66,65 is 4290

GCF of denominators i.e. for 660,513 is 3.

Thus, LCM of Fractions is 1430.Finally, LCM of Fractions for 66/660, 65/513 is 1430.