Least Common Multiple of 73/365, 15/461, 823/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/365, 15/461, 823/864 quickly i.e. 901185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/365, 15/461, 823/864 is 901185.

LCM(73/365, 15/461, 823/864) = 901185

LCM of 73/365, 15/461, 823/864

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 73/365,15/461,823/864

Given numbers are 73/365,15/461,823/864

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 73,15,823

Least Common Multiple of Numerators i.e. LCM of 73,15,823 is 901185.

GCF of Denominators means GCF of 365,461,864 as per the given fractions.

GCF of 365,461,864 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,15,823

LCM of Fractions 73/365,15/461,823/864 is 901185

Given numbers has no common factors except 1. So, there LCM is their product i.e 901185

Least Common Multiple of 73,15,823 with GCF Formula

Least Common Multiple of 73,15,823 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 73,15,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,15,823) = 1

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

GCF(73,15,823) x common factors =1 x 1 = 1

LCM(73,15,823) = ( 73 × 15 × 823 ) / 1

LCM(73,15,823) = 901185 / 1

LCM(73,15,823) = 901185


Lets's calculate GCF of 365,461,864

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 901185/1

Therefore the LCM of Fractions 73/365,15/461,823/864 is 901185

Greatest Common Factor of 365,461,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,461,864 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 365,461,864 . The biggest common factor number is the GCF number.
So the greatest common factor 365,461,864 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 73/365, 15/461, 823/864

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 73/365, 15/461, 823/864?

Answer: LCM of Numerators as per given numbers 73/365, 15/461, 823/864 is

LCM of Numerators i.e. for 73,15,823 is 901185

GCF of denominators i.e. for 365,461,864 is 1.

Thus, LCM of Fractions is 901185.Finally, LCM of Fractions for 73/365, 15/461, 823/864 is 901185.