Given numbers are 415,464,652,396,814

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

The LCM of 415,464,652,396,814 is 114971606640.

Find LCM of 415,464,652,396,814 with Prime Factorization

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

2 x 2 x 11 x 415 x 116 x 163 x 9 x 37 = 114971606640

Therefore, the lowest common multiple of 415,464,652,396,814 is 114971606640.

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.

415 x 464 x 652 x 396 x 814 = 40470005537280

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.

415 : 1, 5, 83, 415

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

652 : 1, 2, 4, 163, 326, 652

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,464,652,396,814, is 1.

Now, the common factors can be found like this.

415:5x 83

464:2x 2x 2x 2x 29

652:2x 2x 163

396:2x 2x 3x 3x 11

814:2x 11x 37

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 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 40470005537280/(1x352)

LCM = 40470005537280/352

LCM = 114971606640

Thus, we can understand that the LCM of 415,464,652,396,814 is 114971606640.

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

• LCM of 971, 904, 736, 540, 819
• LCM of 556, 354, 172, 688, 950
• LCM of 954, 375, 513, 782, 665
• LCM of 371, 996, 378, 447, 196
• LCM of 825, 714, 965, 874, 815

1. What is the LCM of 415, 464, 652, 396, 814?

Answer: LCM of 415, 464, 652, 396, 814 is 114971606640.

2. How to calculate the LCM of 415, 464, 652, 396, 814?

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 415, 464, 652, 396, 814.

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}.