Given numbers are 408,566,567,349,660

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

The LCM of 408,566,567,349,660 is 418886649720.

Find LCM of 408,566,567,349,660 with Prime Factorization

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

2 x 2 x 3 x 34 x 283 x 189 x 349 x 55 = 418886649720

Therefore, the lowest common multiple of 408,566,567,349,660 is 418886649720.

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.

408 x 566 x 567 x 349 x 660 = 30159838779840

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

566 : 1, 2, 283, 566

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

349 : 1, 349

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 408,566,567,349,660, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

566:2x 283

567:3x 3x 3x 3x 7

349:349

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 30159838779840/(1x72)

LCM = 30159838779840/72

LCM = 418886649720

Thus, we can understand that the LCM of 408,566,567,349,660 is 418886649720.

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

• LCM of 683, 796, 712, 848, 714
• LCM of 115, 737, 783, 191, 583
• LCM of 911, 793, 885, 488, 871
• LCM of 378, 333, 367, 654, 220
• LCM of 353, 732, 367, 678, 939

1. What is the LCM of 408, 566, 567, 349, 660?

Answer: LCM of 408, 566, 567, 349, 660 is 418886649720.

2. How to calculate the LCM of 408, 566, 567, 349, 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 408, 566, 567, 349, 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}.