Least Common Multiple of 65/660, 515/936, 513/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/660, 515/936, 513/932 quickly i.e. 3434535/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/660, 515/936, 513/932 is 3434535/4.

LCM(65/660, 515/936, 513/932) = 3434535/4

LCM of 65/660, 515/936, 513/932

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 65/660,515/936,513/932

Given numbers are 65/660,515/936,513/932

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 65,515,513

Least Common Multiple of Numerators i.e. LCM of 65,515,513 is 3434535.

GCF of Denominators means GCF of 660,936,932 as per the given fractions.

GCF of 660,936,932 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,515,513

LCM of Fractions 65/660,515/936,513/932 is 3434535/4

5 65, 515, 513
13, 103, 513

∴ So the LCM of the given numbers is 5 x 13 x 103 x 513 = 3434535

Least Common Multiple of 65,515,513 with GCF Formula

Least Common Multiple of 65,515,513 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 65,515,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,515,513) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,515,513) x common factors =1 x 5 = 5

LCM(65,515,513) = ( 65 × 515 × 513 ) / 5

LCM(65,515,513) = 17172675 / 5

LCM(65,515,513) = 3434535


Lets's calculate GCF of 660,936,932

2 660, 936, 932
2 330, 468, 466
165, 234, 233

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3434535/4

Therefore the LCM of Fractions 65/660,515/936,513/932 is 3434535/4

Greatest Common Factor of 660,936,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,936,932 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 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 660,936,932 . The biggest common factor number is the GCF number.
So the greatest common factor 660,936,932 is 4.


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 65/660, 515/936, 513/932

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 65/660, 515/936, 513/932?

Answer: LCM of Numerators as per given numbers 65/660, 515/936, 513/932 is

LCM of Numerators i.e. for 65,515,513 is 3434535

GCF of denominators i.e. for 660,936,932 is 4.

Thus, LCM of Fractions is 3434535/4.Finally, LCM of Fractions for 65/660, 515/936, 513/932 is 3434535/4.