Given numbers are 416,920,735,717

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

The LCM of 416,920,735,717 is 1680762720.

Find LCM of 416,920,735,717 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 52 x 23 x 49 x 239 = 1680762720

Therefore, the lowest common multiple of 416,920,735,717 is 1680762720.

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.

416 x 920 x 735 x 717 = 201691526400

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,920,735,717, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

920:2x 2x 2x 5x 23

735:3x 5x 7x 7

717:3x 239

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 201691526400/(1x120)

LCM = 201691526400/120

LCM = 1680762720

Thus, we can understand that the LCM of 416,920,735,717 is 1680762720.

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

• LCM of 510, 826, 418, 978
• LCM of 700, 684, 933, 892
• LCM of 487, 322, 262, 136
• LCM of 736, 885, 267, 527
• LCM of 736, 556, 213, 358

1. What is the LCM of 416, 920, 735, 717?

Answer: LCM of 416, 920, 735, 717 is 1680762720.

2. How to calculate the LCM of 416, 920, 735, 717?

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 416, 920, 735, 717.

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}.