Least Common Multiple of 165/513, 136/936, 225/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/513, 136/936, 225/849 quickly i.e. 112200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/513, 136/936, 225/849 is 112200.

LCM(165/513, 136/936, 225/849) = 112200

LCM of 165/513, 136/936, 225/849

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 165/513,136/936,225/849

Given numbers are 165/513,136/936,225/849

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 165,136,225

Least Common Multiple of Numerators i.e. LCM of 165,136,225 is 336600.

GCF of Denominators means GCF of 513,936,849 as per the given fractions.

GCF of 513,936,849 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,136,225

LCM of Fractions 165/513,136/936,225/849 is 112200

3 165, 136, 225
5 55, 136, 75
11, 136, 15

∴ So the LCM of the given numbers is 3 x 5 x 11 x 136 x 15 = 336600

Least Common Multiple of 165,136,225 with GCF Formula

Least Common Multiple of 165,136,225 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 165,136,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,136,225) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(165,136,225) x common factors =1 x 15 = 15

LCM(165,136,225) = ( 165 × 136 × 225 ) / 15

LCM(165,136,225) = 5049000 / 15

LCM(165,136,225) = 336600


Lets's calculate GCF of 513,936,849

3 513, 936, 849
171, 312, 283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336600/3

Therefore the LCM of Fractions 165/513,136/936,225/849 is 112200

Greatest Common Factor of 513,936,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,936,849 By Matching Biggest Common Factor Method

Factors of 513

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

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

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 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 513,936,849 . The biggest common factor number is the GCF number.
So the greatest common factor 513,936,849 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 165/513, 136/936, 225/849

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 165/513, 136/936, 225/849?

Answer: LCM of Numerators as per given numbers 165/513, 136/936, 225/849 is

LCM of Numerators i.e. for 165,136,225 is 336600

GCF of denominators i.e. for 513,936,849 is 3.

Thus, LCM of Fractions is 112200.Finally, LCM of Fractions for 165/513, 136/936, 225/849 is 112200.