Given numbers are 628,405,537,909,416

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

The LCM of 628,405,537,909,416 is 478214137440.

Find LCM of 628,405,537,909,416 with Prime Factorization

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

2 x 2 x 3 x 3 x 157 x 45 x 179 x 101 x 104 = 478214137440

Therefore, the lowest common multiple of 628,405,537,909,416 is 478214137440.

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.

628 x 405 x 537 x 909 x 416 = 51647126843520

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.

628 : 1, 2, 4, 157, 314, 628

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

537 : 1, 3, 179, 537

909 : 1, 3, 9, 101, 303, 909

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,405,537,909,416, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

405:3x 3x 3x 3x 5

537:3x 179

909:3x 3x 101

416:2x 2x 2x 2x 2x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 51647126843520/(1x108)

LCM = 51647126843520/108

LCM = 478214137440

Thus, we can understand that the LCM of 628,405,537,909,416 is 478214137440.

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

• LCM of 478, 887, 316, 208, 994
• LCM of 430, 133, 140, 911, 109
• LCM of 971, 684, 462, 845, 414
• LCM of 717, 565, 469, 474, 507
• LCM of 962, 209, 103, 544, 100

1. What is the LCM of 628, 405, 537, 909, 416?

Answer: LCM of 628, 405, 537, 909, 416 is 478214137440.

2. How to calculate the LCM of 628, 405, 537, 909, 416?

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 628, 405, 537, 909, 416.

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}.