Given numbers are 364,566,229,432,614

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

The LCM of 364,566,229,432,614 is 782141684688.

Find LCM of 364,566,229,432,614 with Prime Factorization

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

2 x 2 x 91 x 283 x 229 x 108 x 307 = 782141684688

Therefore, the lowest common multiple of 364,566,229,432,614 is 782141684688.

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.

364 x 566 x 229 x 432 x 614 = 12514266955008

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

566 : 1, 2, 283, 566

229 : 1, 229

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,566,229,432,614, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

566:2x 283

229:229

432:2x 2x 2x 2x 3x 3x 3

614:2x 307

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 2 = 16

Therefore, the value for common factors is 16.

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 = 12514266955008/(1x16)

LCM = 12514266955008/16

LCM = 782141684688

Thus, we can understand that the LCM of 364,566,229,432,614 is 782141684688.

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

• LCM of 810, 430, 530, 379, 345
• LCM of 296, 560, 967, 580, 991
• LCM of 733, 181, 257, 144, 333
• LCM of 766, 957, 456, 341, 623
• LCM of 755, 152, 482, 172, 510

1. What is the LCM of 364, 566, 229, 432, 614?

Answer: LCM of 364, 566, 229, 432, 614 is 782141684688.

2. How to calculate the LCM of 364, 566, 229, 432, 614?

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 364, 566, 229, 432, 614.

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}.