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LCM of 204, 722, 330, 494, 432

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 204, 722, 330, 494, 432 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 204, 722, 330, 494, 432. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 204,722,330,494,432

Given numbers are 204,722,330,494,432

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 204,722,330,494,432 is 1895596560.

Find LCM of 204,722,330,494,432 with Prime Factorization


2 204, 722, 330, 494, 432
2 102, 361, 165, 247, 216
3 51, 361, 165, 247, 108
19 17, 361, 55, 247, 36
17, 19, 55, 13, 36

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 19 x 17 x 19 x 55 x 13 x 36 = 1895596560

Therefore, the lowest common multiple of 204,722,330,494,432 is 1895596560.

LCM Formula to Find Lowest Common Multiple of 204,722,330,494,432

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

204 x 722 x 330 x 494 x 432 = 10372704376320

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

722 : 1, 2, 19, 38, 361, 722

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

494 : 1, 2, 13, 19, 26, 38, 247, 494

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,722,330,494,432, is 2.

Now, the common factors can be found like this.

204:2x 2x 3x 17

722:2x 19x 19

330:2x 3x 5x 11

494:2x 13x 19

432:2x 2x 2x 2x 3x 3x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 3x 19 = 2736

Therefore, the value for common factors is 2736.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 10372704376320/(2x2736)

LCM = 10372704376320/5472

LCM = 1895596560

Thus, we can understand that the LCM of 204,722,330,494,432 is 1895596560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 204, 722, 330, 494, 432

1. What is the LCM of 204, 722, 330, 494, 432?

Answer: LCM of 204, 722, 330, 494, 432 is 1895596560.

2. How to calculate the LCM of 204, 722, 330, 494, 432?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 204, 722, 330, 494, 432.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.