Given numbers are 493,862,422,614,648

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

The LCM of 493,862,422,614,648 is 8919079316568.

Find LCM of 493,862,422,614,648 with Prime Factorization

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

2 x 493 x 431 x 211 x 307 x 324 = 8919079316568

Therefore, the lowest common multiple of 493,862,422,614,648 is 8919079316568.

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.

493 x 862 x 422 x 614 x 648 = 71352634532544

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.

493 : 1, 17, 29, 493

862 : 1, 2, 431, 862

422 : 1, 2, 211, 422

614 : 1, 2, 307, 614

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,862,422,614,648, is 1.

Now, the common factors can be found like this.

493:17x 29

862:2x 431

422:2x 211

614:2x 307

648:2x 2x 2x 3x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 71352634532544/(1x8)

LCM = 71352634532544/8

LCM = 8919079316568

Thus, we can understand that the LCM of 493,862,422,614,648 is 8919079316568.

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

• LCM of 443, 611, 765, 558, 662
• LCM of 699, 870, 680, 703, 954
• LCM of 671, 798, 250, 654, 116
• LCM of 920, 547, 155, 600, 913
• LCM of 551, 977, 439, 982, 754

1. What is the LCM of 493, 862, 422, 614, 648?

Answer: LCM of 493, 862, 422, 614, 648 is 8919079316568.

2. How to calculate the LCM of 493, 862, 422, 614, 648?

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 493, 862, 422, 614, 648.

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}.