Given numbers are 405,741,121,416,660

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

The LCM of 405,741,121,416,660 is 387335520.

Find LCM of 405,741,121,416,660 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 13 x 27 x 19 x 1 x 8 x 11 = 387335520

Therefore, the lowest common multiple of 405,741,121,416,660 is 387335520.

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.

405 x 741 x 121 x 416 x 660 = 9970016284800

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.

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

741 : 1, 3, 13, 19, 39, 57, 247, 741

121 : 1, 11, 121

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,741,121,416,660, is 1.

Now, the common factors can be found like this.

405:3x 3x 3x 3x 5

741:3x 13x 19

121:11x 11

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

660:2x 2x 3x 5x 11

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 5x 11x 13 = 25740

Therefore, the value for common factors is 25740.

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 = 9970016284800/(1x25740)

LCM = 9970016284800/25740

LCM = 387335520

Thus, we can understand that the LCM of 405,741,121,416,660 is 387335520.

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

• LCM of 728, 524, 404, 368, 414
• LCM of 928, 549, 230, 791, 814
• LCM of 321, 547, 242, 776, 555
• LCM of 234, 459, 408, 476, 731
• LCM of 489, 935, 738, 461, 233

1. What is the LCM of 405, 741, 121, 416, 660?

Answer: LCM of 405, 741, 121, 416, 660 is 387335520.

2. How to calculate the LCM of 405, 741, 121, 416, 660?

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 405, 741, 121, 416, 660.

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}.