Least Common Multiple of 413/463, 654/315, 381/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 413/463, 654/315, 381/366 quickly i.e. 34302954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 413/463, 654/315, 381/366 is 34302954.

LCM(413/463, 654/315, 381/366) = 34302954

LCM of 413/463, 654/315, 381/366

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 413/463,654/315,381/366

Given numbers are 413/463,654/315,381/366

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 413,654,381

Least Common Multiple of Numerators i.e. LCM of 413,654,381 is 34302954.

GCF of Denominators means GCF of 463,315,366 as per the given fractions.

GCF of 463,315,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 413,654,381

LCM of Fractions 413/463,654/315,381/366 is 34302954

3 413, 654, 381
413, 218, 127

∴ So the LCM of the given numbers is 3 x 413 x 218 x 127 = 34302954

Least Common Multiple of 413,654,381 with GCF Formula

Least Common Multiple of 413,654,381 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 413,654,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,654,381) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(413,654,381) x common factors =1 x 3 = 3

LCM(413,654,381) = ( 413 × 654 × 381 ) / 3

LCM(413,654,381) = 102908862 / 3

LCM(413,654,381) = 34302954


Lets's calculate GCF of 463,315,366

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34302954/1

Therefore the LCM of Fractions 413/463,654/315,381/366 is 34302954

Greatest Common Factor of 463,315,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,315,366 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 463,315,366 . The biggest common factor number is the GCF number.
So the greatest common factor 463,315,366 is 1.


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 413/463, 654/315, 381/366

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 413/463, 654/315, 381/366?

Answer: LCM of Numerators as per given numbers 413/463, 654/315, 381/366 is

LCM of Numerators i.e. for 413,654,381 is 34302954

GCF of denominators i.e. for 463,315,366 is 1.

Thus, LCM of Fractions is 34302954.Finally, LCM of Fractions for 413/463, 654/315, 381/366 is 34302954.