Given numbers are 382,728,611,408,368

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

The LCM of 382,728,611,408,368 is 15331710576.

Find LCM of 382,728,611,408,368 with Prime Factorization

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

2 x 2 x 2 x 13 x 191 x 7 x 47 x 51 x 46 = 15331710576

Therefore, the lowest common multiple of 382,728,611,408,368 is 15331710576.

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.

382 x 728 x 611 x 408 x 368 = 25511966398464

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.

382 : 1, 2, 191, 382

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

611 : 1, 13, 47, 611

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,728,611,408,368, is 1.

Now, the common factors can be found like this.

382:2x 191

728:2x 2x 2x 7x 13

611:13x 47

408:2x 2x 2x 3x 17

368:2x 2x 2x 2x 23

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 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 25511966398464/(1x1664)

LCM = 25511966398464/1664

LCM = 15331710576

Thus, we can understand that the LCM of 382,728,611,408,368 is 15331710576.

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

• LCM of 613, 552, 859, 948, 405
• LCM of 379, 306, 823, 376, 587
• LCM of 498, 851, 785, 562, 153
• LCM of 277, 490, 345, 753, 995
• LCM of 801, 965, 167, 704, 856

1. What is the LCM of 382, 728, 611, 408, 368?

Answer: LCM of 382, 728, 611, 408, 368 is 15331710576.

2. How to calculate the LCM of 382, 728, 611, 408, 368?

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 382, 728, 611, 408, 368.

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}.