Given numbers are 397,391,284,364

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

The LCM of 397,391,284,364 is 4011686588.

Find LCM of 397,391,284,364 with Prime Factorization

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

2 x 2 x 397 x 391 x 71 x 91 = 4011686588

Therefore, the lowest common multiple of 397,391,284,364 is 4011686588.

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.

397 x 391 x 284 x 364 = 16046746352

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.

397 : 1, 397

391 : 1, 17, 23, 391

284 : 1, 2, 4, 71, 142, 284

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,391,284,364, is 1.

Now, the common factors can be found like this.

397:397

391:17x 23

284:2x 2x 71

364:2x 2x 7x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 16046746352/(1x4)

LCM = 16046746352/4

LCM = 4011686588

Thus, we can understand that the LCM of 397,391,284,364 is 4011686588.

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

• LCM of 212, 413, 458, 695
• LCM of 505, 636, 234, 226
• LCM of 311, 725, 614, 347
• LCM of 746, 572, 729, 243
• LCM of 791, 166, 405, 173

1. What is the LCM of 397, 391, 284, 364?

Answer: LCM of 397, 391, 284, 364 is 4011686588.

2. How to calculate the LCM of 397, 391, 284, 364?

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 397, 391, 284, 364.

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}.