Least Common Multiple of 144/868, 813/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/868, 813/465 quickly i.e. 39024/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/868, 813/465 is 39024/31.

LCM(144/868, 813/465) = 39024/31

LCM of 144/868, 813/465

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 144/868,813/465

Given numbers are 144/868,813/465

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 144,813

Least Common Multiple of Numerators i.e. LCM of 144,813 is 39024.

GCF of Denominators means GCF of 868,465 as per the given fractions.

GCF of 868,465 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,813

LCM of Fractions 144/868,813/465 is 39024/31

3 144, 813
48, 271

∴ So the LCM of the given numbers is 3 x 48 x 271 = 39024

Least Common Multiple of 144,813 with GCF Formula

Least Common Multiple of 144,813 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 144,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,813) = 3

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

GCF(144,813) x common factors =3 x 1 = 3

LCM(144,813) = ( 144 × 813 ) / 3

LCM(144,813) = 117072 / 3

LCM(144,813) = 39024


Lets's calculate GCF of 868,465

31 868, 465
28, 15

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39024/31

Therefore the LCM of Fractions 144/868,813/465 is 39024/31

Greatest Common Factor of 868,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,465 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 868,465 . The biggest common factor number is the GCF number.
So the greatest common factor 868,465 is 31.


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 144/868, 813/465

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 144/868, 813/465?

Answer: LCM of Numerators as per given numbers 144/868, 813/465 is

LCM of Numerators i.e. for 144,813 is 39024

GCF of denominators i.e. for 868,465 is 31.

Thus, LCM of Fractions is 39024/31.Finally, LCM of Fractions for 144/868, 813/465 is 39024/31.