Given numbers are 596,633,497,284,704

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

The LCM of 596,633,497,284,704 is 33000386496.

Find LCM of 596,633,497,284,704 with Prime Factorization

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

2 x 2 x 71 x 149 x 633 x 7 x 1 x 176 = 33000386496

Therefore, the lowest common multiple of 596,633,497,284,704 is 33000386496.

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.

596 x 633 x 497 x 284 x 704 = 37488439059456

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.

596 : 1, 2, 4, 149, 298, 596

633 : 1, 3, 211, 633

497 : 1, 7, 71, 497

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

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,633,497,284,704, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

633:3x 211

497:7x 71

284:2x 2x 71

704:2x 2x 2x 2x 2x 2x 11

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 71 = 1136

Therefore, the value for common factors is 1136.

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 = 37488439059456/(1x1136)

LCM = 37488439059456/1136

LCM = 33000386496

Thus, we can understand that the LCM of 596,633,497,284,704 is 33000386496.

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

• LCM of 248, 849, 691, 370, 264
• LCM of 999, 887, 616, 768, 228
• LCM of 635, 573, 450, 871, 594
• LCM of 285, 186, 910, 134, 968
• LCM of 427, 230, 937, 791, 541

1. What is the LCM of 596, 633, 497, 284, 704?

Answer: LCM of 596, 633, 497, 284, 704 is 33000386496.

2. How to calculate the LCM of 596, 633, 497, 284, 704?

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 596, 633, 497, 284, 704.

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}.