Least Common Multiple of 65/462, 661/513, 183/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/462, 661/513, 183/768 quickly i.e. 2620865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/462, 661/513, 183/768 is 2620865.

LCM(65/462, 661/513, 183/768) = 2620865

LCM of 65/462, 661/513, 183/768

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 65/462,661/513,183/768

Given numbers are 65/462,661/513,183/768

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 65,661,183

Least Common Multiple of Numerators i.e. LCM of 65,661,183 is 7862595.

GCF of Denominators means GCF of 462,513,768 as per the given fractions.

GCF of 462,513,768 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,661,183

LCM of Fractions 65/462,661/513,183/768 is 2620865

Given numbers has no common factors except 1. So, there LCM is their product i.e 7862595

Least Common Multiple of 65,661,183 with GCF Formula

Least Common Multiple of 65,661,183 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 65,661,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,661,183) = 1

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

GCF(65,661,183) x common factors =1 x 1 = 1

LCM(65,661,183) = ( 65 × 661 × 183 ) / 1

LCM(65,661,183) = 7862595 / 1

LCM(65,661,183) = 7862595


Lets's calculate GCF of 462,513,768

3 462, 513, 768
154, 171, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7862595/3

Therefore the LCM of Fractions 65/462,661/513,183/768 is 2620865

Greatest Common Factor of 462,513,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,513,768 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

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 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 462,513,768 . The biggest common factor number is the GCF number.
So the greatest common factor 462,513,768 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 65/462, 661/513, 183/768

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 65/462, 661/513, 183/768?

Answer: LCM of Numerators as per given numbers 65/462, 661/513, 183/768 is

LCM of Numerators i.e. for 65,661,183 is 7862595

GCF of denominators i.e. for 462,513,768 is 3.

Thus, LCM of Fractions is 2620865.Finally, LCM of Fractions for 65/462, 661/513, 183/768 is 2620865.