Given numbers are 324,456,464,390,566

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

The LCM of 324,456,464,390,566 is 13135795920.

Find LCM of 324,456,464,390,566 with Prime Factorization

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

2 x 2 x 2 x 3 x 27 x 19 x 58 x 65 x 283 = 13135795920

Therefore, the lowest common multiple of 324,456,464,390,566 is 13135795920.

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.

324 x 456 x 464 x 390 x 566 = 15132436899840

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,456,464,390,566, is 2.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

456:2x 2x 2x 3x 19

464:2x 2x 2x 2x 29

390:2x 3x 5x 13

566:2x 283

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 15132436899840/(2x576)

LCM = 15132436899840/1152

LCM = 13135795920

Thus, we can understand that the LCM of 324,456,464,390,566 is 13135795920.

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

• LCM of 943, 329, 882, 425, 547
• LCM of 709, 845, 823, 173, 409
• LCM of 283, 762, 543, 109, 100
• LCM of 783, 239, 744, 182, 952
• LCM of 634, 604, 441, 851, 684

1. What is the LCM of 324, 456, 464, 390, 566?

Answer: LCM of 324, 456, 464, 390, 566 is 13135795920.

2. How to calculate the LCM of 324, 456, 464, 390, 566?

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 324, 456, 464, 390, 566.

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}.