Given numbers are 368,463,758,952,468

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

The LCM of 368,463,758,952,468 is 899085187728.

Find LCM of 368,463,758,952,468 with Prime Factorization

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

2 x 2 x 2 x 46 x 463 x 379 x 119 x 117 = 899085187728

Therefore, the lowest common multiple of 368,463,758,952,468 is 899085187728.

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.

368 x 463 x 758 x 952 x 468 = 57541452014592

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

463 : 1, 463

758 : 1, 2, 379, 758

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,463,758,952,468, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

463:463

758:2x 379

952:2x 2x 2x 7x 17

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 2 = 64

Therefore, the value for common factors is 64.

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 = 57541452014592/(1x64)

LCM = 57541452014592/64

LCM = 899085187728

Thus, we can understand that the LCM of 368,463,758,952,468 is 899085187728.

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

• LCM of 230, 596, 868, 689, 797
• LCM of 673, 478, 103, 941, 405
• LCM of 912, 445, 598, 573, 102
• LCM of 902, 270, 194, 123, 348
• LCM of 294, 167, 955, 302, 784

1. What is the LCM of 368, 463, 758, 952, 468?

Answer: LCM of 368, 463, 758, 952, 468 is 899085187728.

2. How to calculate the LCM of 368, 463, 758, 952, 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 368, 463, 758, 952, 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}.