Least Common Multiple of 463/766, 687/230, 755/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 463/766, 687/230, 755/338 quickly i.e. 240151155/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 463/766, 687/230, 755/338 is 240151155/2.

LCM(463/766, 687/230, 755/338) = 240151155/2

LCM of 463/766, 687/230, 755/338

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 463/766,687/230,755/338

Given numbers are 463/766,687/230,755/338

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 463,687,755

Least Common Multiple of Numerators i.e. LCM of 463,687,755 is 240151155.

GCF of Denominators means GCF of 766,230,338 as per the given fractions.

GCF of 766,230,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 463,687,755

LCM of Fractions 463/766,687/230,755/338 is 240151155/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 240151155

Least Common Multiple of 463,687,755 with GCF Formula

Least Common Multiple of 463,687,755 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 463,687,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,687,755) = 1

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

GCF(463,687,755) x common factors =1 x 1 = 1

LCM(463,687,755) = ( 463 × 687 × 755 ) / 1

LCM(463,687,755) = 240151155 / 1

LCM(463,687,755) = 240151155


Lets's calculate GCF of 766,230,338

2 766, 230, 338
383, 115, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240151155/2

Therefore the LCM of Fractions 463/766,687/230,755/338 is 240151155/2

Greatest Common Factor of 766,230,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,230,338 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 766,230,338 . The biggest common factor number is the GCF number.
So the greatest common factor 766,230,338 is 2.


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 463/766, 687/230, 755/338

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 463/766, 687/230, 755/338?

Answer: LCM of Numerators as per given numbers 463/766, 687/230, 755/338 is

LCM of Numerators i.e. for 463,687,755 is 240151155

GCF of denominators i.e. for 766,230,338 is 2.

Thus, LCM of Fractions is 240151155/2.Finally, LCM of Fractions for 463/766, 687/230, 755/338 is 240151155/2.