Least Common Multiple of 432/800, 8415/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/800, 8415/545 quickly i.e. 80784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/800, 8415/545 is 80784.

LCM(432/800, 8415/545) = 80784

LCM of 432/800, 8415/545

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 432/800,8415/545

Given numbers are 432/800,8415/545

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 432,8415

Least Common Multiple of Numerators i.e. LCM of 432,8415 is 403920.

GCF of Denominators means GCF of 800,545 as per the given fractions.

GCF of 800,545 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,8415

LCM of Fractions 432/800,8415/545 is 80784

3 432, 8415
3 144, 2805
48, 935

∴ So the LCM of the given numbers is 3 x 3 x 48 x 935 = 403920

Least Common Multiple of 432,8415 with GCF Formula

Least Common Multiple of 432,8415 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 432,8415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,8415) = 9

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

GCF(432,8415) x common factors =9 x 1 = 9

LCM(432,8415) = ( 432 × 8415 ) / 9

LCM(432,8415) = 3635280 / 9

LCM(432,8415) = 403920


Lets's calculate GCF of 800,545

5 800, 545
160, 109

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403920/5

Therefore the LCM of Fractions 432/800,8415/545 is 80784

Greatest Common Factor of 800,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,545 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 800,545 . The biggest common factor number is the GCF number.
So the greatest common factor 800,545 is 5.


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 432/800, 8415/545

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 432/800, 8415/545?

Answer: LCM of Numerators as per given numbers 432/800, 8415/545 is

LCM of Numerators i.e. for 432,8415 is 403920

GCF of denominators i.e. for 800,545 is 5.

Thus, LCM of Fractions is 80784.Finally, LCM of Fractions for 432/800, 8415/545 is 80784.