Least Common Multiple of 432/817, 360/528, 384/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/817, 360/528, 384/950 quickly i.e. 17280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/817, 360/528, 384/950 is 17280.

LCM(432/817, 360/528, 384/950) = 17280

LCM of 432/817, 360/528, 384/950

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 432/817,360/528,384/950

Given numbers are 432/817,360/528,384/950

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 432,360,384

Least Common Multiple of Numerators i.e. LCM of 432,360,384 is 17280.

GCF of Denominators means GCF of 817,528,950 as per the given fractions.

GCF of 817,528,950 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,360,384

LCM of Fractions 432/817,360/528,384/950 is 17280

2 432, 360, 384
2 216, 180, 192
2 108, 90, 96
2 54, 45, 48
3 27, 45, 24
3 9, 15, 8
3, 5, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 8 = 17280

Least Common Multiple of 432,360,384 with GCF Formula

Least Common Multiple of 432,360,384 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 432,360,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,360,384) = 24

common factors(in case of two or more numbers have common factors) = 144

GCF(432,360,384) x common factors =24 x 144 = 3456

LCM(432,360,384) = ( 432 × 360 × 384 ) / 3456

LCM(432,360,384) = 59719680 / 3456

LCM(432,360,384) = 17280


Lets's calculate GCF of 817,528,950

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17280/1

Therefore the LCM of Fractions 432/817,360/528,384/950 is 17280

Greatest Common Factor of 817,528,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,528,950 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 817,528,950 . The biggest common factor number is the GCF number.
So the greatest common factor 817,528,950 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 432/817, 360/528, 384/950

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 432/817, 360/528, 384/950?

Answer: LCM of Numerators as per given numbers 432/817, 360/528, 384/950 is

LCM of Numerators i.e. for 432,360,384 is 17280

GCF of denominators i.e. for 817,528,950 is 1.

Thus, LCM of Fractions is 17280.Finally, LCM of Fractions for 432/817, 360/528, 384/950 is 17280.