Least Common Multiple of 432/315, 667/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/315, 667/367 quickly i.e. 288144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/315, 667/367 is 288144.

LCM(432/315, 667/367) = 288144

LCM of 432/315, 667/367

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 432/315,667/367

Given numbers are 432/315,667/367

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 432,667

Least Common Multiple of Numerators i.e. LCM of 432,667 is 288144.

GCF of Denominators means GCF of 315,367 as per the given fractions.

GCF of 315,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,667

LCM of Fractions 432/315,667/367 is 288144

Given numbers has no common factors except 1. So, there LCM is their product i.e 288144

Least Common Multiple of 432,667 with GCF Formula

Least Common Multiple of 432,667 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 432,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,667) = 1

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

GCF(432,667) x common factors =1 x 1 = 1

LCM(432,667) = ( 432 × 667 ) / 1

LCM(432,667) = 288144 / 1

LCM(432,667) = 288144


Lets's calculate GCF of 315,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288144/1

Therefore the LCM of Fractions 432/315,667/367 is 288144

Greatest Common Factor of 315,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,367 By Matching Biggest Common Factor Method

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 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 315,367 . The biggest common factor number is the GCF number.
So the greatest common factor 315,367 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 432/315, 667/367

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 432/315, 667/367?

Answer: LCM of Numerators as per given numbers 432/315, 667/367 is

LCM of Numerators i.e. for 432,667 is 288144

GCF of denominators i.e. for 315,367 is 1.

Thus, LCM of Fractions is 288144.Finally, LCM of Fractions for 432/315, 667/367 is 288144.