Given numbers are 424,396,328,624

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

The LCM of 424,396,328,624 is 44746416.

Find LCM of 424,396,328,624 with Prime Factorization

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

2 x 2 x 2 x 3 x 53 x 33 x 41 x 26 = 44746416

Therefore, the lowest common multiple of 424,396,328,624 is 44746416.

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 396 x 328 x 624 = 34365247488

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

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

328 : 1, 2, 4, 8, 41, 82, 164, 328

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,396,328,624, is 4.

Now, the common factors can be found like this.

424:2x 2x 2x 53

396:2x 2x 3x 3x 11

328:2x 2x 2x 41

624:2x 2x 2x 2x 3x 13

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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 34365247488/(4x192)

LCM = 34365247488/768

LCM = 44746416

Thus, we can understand that the LCM of 424,396,328,624 is 44746416.

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

• LCM of 116, 869, 314, 598
• LCM of 467, 356, 745, 493
• LCM of 702, 610, 499, 952
• LCM of 632, 755, 294, 681
• LCM of 469, 515, 251, 886

1. What is the LCM of 424, 396, 328, 624?

Answer: LCM of 424, 396, 328, 624 is 44746416.

2. How to calculate the LCM of 424, 396, 328, 624?

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, 396, 328, 624.

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}.