Given numbers are 258,704,424,349,576

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

The LCM of 258,704,424,349,576 is 5039470656.

Find LCM of 258,704,424,349,576 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 43 x 11 x 53 x 349 x 3 = 5039470656

Therefore, the lowest common multiple of 258,704,424,349,576 is 5039470656.

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.

258 x 704 x 424 x 349 x 576 = 15481253855232

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

349 : 1, 349

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,704,424,349,576, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

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

424:2x 2x 2x 53

349:349

576:2x 2x 2x 2x 2x 2x 3x 3

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 2x 2x 2x 3 = 3072

Therefore, the value for common factors is 3072.

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 = 15481253855232/(1x3072)

LCM = 15481253855232/3072

LCM = 5039470656

Thus, we can understand that the LCM of 258,704,424,349,576 is 5039470656.

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

• LCM of 261, 632, 363, 417, 468
• LCM of 925, 972, 189, 288, 573
• LCM of 140, 772, 749, 989, 907
• LCM of 455, 848, 416, 112, 885
• LCM of 123, 380, 237, 135, 999

1. What is the LCM of 258, 704, 424, 349, 576?

Answer: LCM of 258, 704, 424, 349, 576 is 5039470656.

2. How to calculate the LCM of 258, 704, 424, 349, 576?

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 258, 704, 424, 349, 576.

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}.