Given numbers are 566,948,272,266,468

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

The LCM of 566,948,272,266,468 is 94628059344.

Find LCM of 566,948,272,266,468 with Prime Factorization

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

2 x 2 x 3 x 283 x 79 x 68 x 133 x 39 = 94628059344

Therefore, the lowest common multiple of 566,948,272,266,468 is 94628059344.

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.

566 x 948 x 272 x 266 x 468 = 18168587394048

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.

566 : 1, 2, 283, 566

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

266 : 1, 2, 7, 14, 19, 38, 133, 266

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,948,272,266,468, is 2.

Now, the common factors can be found like this.

566:2x 283

948:2x 2x 3x 79

272:2x 2x 2x 2x 17

266:2x 7x 19

468:2x 2x 3x 3x 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 2x 2x 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 18168587394048/(2x96)

LCM = 18168587394048/192

LCM = 94628059344

Thus, we can understand that the LCM of 566,948,272,266,468 is 94628059344.

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

• LCM of 122, 947, 518, 726, 188
• LCM of 698, 226, 174, 735, 641
• LCM of 159, 937, 175, 270, 507
• LCM of 765, 884, 627, 807, 585
• LCM of 896, 671, 295, 978, 620

1. What is the LCM of 566, 948, 272, 266, 468?

Answer: LCM of 566, 948, 272, 266, 468 is 94628059344.

2. How to calculate the LCM of 566, 948, 272, 266, 468?

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 566, 948, 272, 266, 468.

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}.