Given numbers are 364,660,478,235,468

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

The LCM of 364,660,478,235,468 is 2023961940.

Find LCM of 364,660,478,235,468 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 7 x 11 x 239 x 47 x 3 = 2023961940

Therefore, the lowest common multiple of 364,660,478,235,468 is 2023961940.

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 660 x 478 x 235 x 468 = 12629522505600

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

478 : 1, 2, 239, 478

235 : 1, 5, 47, 235

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 364,660,478,235,468, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

660:2x 2x 3x 5x 11

478:2x 239

235:5x 47

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 3x 5x 13 = 6240

Therefore, the value for common factors is 6240.

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 = 12629522505600/(1x6240)

LCM = 12629522505600/6240

LCM = 2023961940

Thus, we can understand that the LCM of 364,660,478,235,468 is 2023961940.

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

• LCM of 476, 782, 357, 750, 698
• LCM of 417, 755, 877, 307, 218
• LCM of 338, 538, 689, 460, 943
• LCM of 428, 910, 273, 333, 469
• LCM of 962, 452, 600, 365, 263

1. What is the LCM of 364, 660, 478, 235, 468?

Answer: LCM of 364, 660, 478, 235, 468 is 2023961940.

2. How to calculate the LCM of 364, 660, 478, 235, 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 364, 660, 478, 235, 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}.