Given numbers are 489,647,748,812,395

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

The LCM of 489,647,748,812,395 is 18976139799540.

Find LCM of 489,647,748,812,395 with Prime Factorization

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

2 x 2 x 489 x 647 x 187 x 203 x 395 = 18976139799540

Therefore, the lowest common multiple of 489,647,748,812,395 is 18976139799540.

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.

489 x 647 x 748 x 812 x 395 = 75904559198160

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.

489 : 1, 3, 163, 489

647 : 1, 647

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,647,748,812,395, is 1.

Now, the common factors can be found like this.

489:3x 163

647:647

748:2x 2x 11x 17

812:2x 2x 7x 29

395:5x 79

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 75904559198160/(1x4)

LCM = 75904559198160/4

LCM = 18976139799540

Thus, we can understand that the LCM of 489,647,748,812,395 is 18976139799540.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 397, 589, 627, 762, 678
• LCM of 152, 269, 760, 971, 820
• LCM of 253, 889, 180, 828, 550
• LCM of 844, 745, 155, 536, 672
• LCM of 446, 419, 568, 980, 326

1. What is the LCM of 489, 647, 748, 812, 395?

Answer: LCM of 489, 647, 748, 812, 395 is 18976139799540.

2. How to calculate the LCM of 489, 647, 748, 812, 395?

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 489, 647, 748, 812, 395.

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}.