Given numbers are 424,460,717

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

The LCM of 424,460,717 is 34960920.

Find LCM of 424,460,717 with Prime Factorization

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

2 x 2 x 106 x 115 x 717 = 34960920

Therefore, the lowest common multiple of 424,460,717 is 34960920.

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.

424 x 460 x 717 = 139843680

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,460,717, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

460:2x 2x 5x 23

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 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 = 139843680/(1x4)

LCM = 139843680/4

LCM = 34960920

Thus, we can understand that the LCM of 424,460,717 is 34960920.

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

• LCM of 965, 757, 164
• LCM of 479, 398, 575
• LCM of 180, 707, 309
• LCM of 651, 849, 159
• LCM of 692, 489, 612

1. What is the LCM of 424, 460, 717?

Answer: LCM of 424, 460, 717 is 34960920.

2. How to calculate the LCM of 424, 460, 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 424, 460, 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}.