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LCM of 646, 860, 710, 198, 432

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


Find the LCM of 646, 860, 710, 198, 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 646, 860, 710, 198, 432. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 646,860,710,198,432

Given numbers are 646,860,710,198,432

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

The LCM of 646,860,710,198,432 is 23430187440.

Find LCM of 646,860,710,198,432 with Prime Factorization


2 646, 860, 710, 198, 432
2 323, 430, 355, 99, 216
3 323, 215, 355, 99, 108
3 323, 215, 355, 33, 36
5 323, 215, 355, 11, 12
323, 43, 71, 11, 12

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

2 x 2 x 3 x 3 x 5 x 323 x 43 x 71 x 11 x 12 = 23430187440

Therefore, the lowest common multiple of 646,860,710,198,432 is 23430187440.

LCM Formula to Find Lowest Common Multiple of 646,860,710,198,432

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.

646 x 860 x 710 x 198 x 432 = 33739469913600

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

710 : 1, 2, 5, 10, 71, 142, 355, 710

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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 646,860,710,198,432, is 2.

Now, the common factors can be found like this.

646:2x 17x 19

860:2x 2x 5x 43

710:2x 5x 71

198:2x 3x 3x 11

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 5 = 720

Therefore, the value for common factors is 720.

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 = 33739469913600/(2x720)

LCM = 33739469913600/1440

LCM = 23430187440

Thus, we can understand that the LCM of 646,860,710,198,432 is 23430187440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 646, 860, 710, 198, 432

1. What is the LCM of 646, 860, 710, 198, 432?

Answer: LCM of 646, 860, 710, 198, 432 is 23430187440.

2. How to calculate the LCM of 646, 860, 710, 198, 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 646, 860, 710, 198, 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}.