Given numbers are 496,814,162,202,586

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

The LCM of 496,814,162,202,586 is 483893845776.

Find LCM of 496,814,162,202,586 with Prime Factorization

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

2 x 248 x 407 x 81 x 101 x 293 = 483893845776

Therefore, the lowest common multiple of 496,814,162,202,586 is 483893845776.

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.

496 x 814 x 162 x 202 x 586 = 7742301532416

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

814 : 1, 2, 11, 22, 37, 74, 407, 814

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

202 : 1, 2, 101, 202

586 : 1, 2, 293, 586

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,814,162,202,586, is 2.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

814:2x 11x 37

162:2x 3x 3x 3x 3

202:2x 101

586:2x 293

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 = 7742301532416/(2x8)

LCM = 7742301532416/16

LCM = 483893845776

Thus, we can understand that the LCM of 496,814,162,202,586 is 483893845776.

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

• LCM of 963, 234, 216, 629, 162
• LCM of 342, 780, 581, 653, 674
• LCM of 226, 614, 641, 134, 290
• LCM of 666, 906, 656, 722, 168
• LCM of 624, 154, 189, 135, 698

1. What is the LCM of 496, 814, 162, 202, 586?

Answer: LCM of 496, 814, 162, 202, 586 is 483893845776.

2. How to calculate the LCM of 496, 814, 162, 202, 586?

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 496, 814, 162, 202, 586.

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}.