Given numbers are 355,408,728,416,230

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

The LCM of 355,408,728,416,230 is 1212600480.

Find LCM of 355,408,728,416,230 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 71 x 51 x 7 x 4 x 23 = 1212600480

Therefore, the lowest common multiple of 355,408,728,416,230 is 1212600480.

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.

355 x 408 x 728 x 416 x 230 = 10088835993600

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.

355 : 1, 5, 71, 355

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

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,408,728,416,230, is 1.

Now, the common factors can be found like this.

355:5x 71

408:2x 2x 2x 3x 17

728:2x 2x 2x 7x 13

416:2x 2x 2x 2x 2x 13

230:2x 5x 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 5x 13 = 8320

Therefore, the value for common factors is 8320.

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 = 10088835993600/(1x8320)

LCM = 10088835993600/8320

LCM = 1212600480

Thus, we can understand that the LCM of 355,408,728,416,230 is 1212600480.

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

• LCM of 272, 703, 416, 617, 659
• LCM of 792, 296, 854, 198, 969
• LCM of 888, 537, 788, 760, 708
• LCM of 456, 937, 400, 950, 123
• LCM of 791, 680, 539, 690, 323

1. What is the LCM of 355, 408, 728, 416, 230?

Answer: LCM of 355, 408, 728, 416, 230 is 1212600480.

2. How to calculate the LCM of 355, 408, 728, 416, 230?

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 355, 408, 728, 416, 230.

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}.