Given numbers are 728,528,329,446,442

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

The LCM of 728,528,329,446,442 is 8561048496.

Find LCM of 728,528,329,446,442 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 1 x 66 x 47 x 223 x 17 = 8561048496

Therefore, the lowest common multiple of 728,528,329,446,442 is 8561048496.

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.

728 x 528 x 329 x 446 x 442 = 24929773220352

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.

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

329 : 1, 7, 47, 329

446 : 1, 2, 223, 446

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,528,329,446,442, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

528:2x 2x 2x 2x 3x 11

329:7x 47

446:2x 223

442:2x 13x 17

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 7x 13 = 2912

Therefore, the value for common factors is 2912.

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 = 24929773220352/(1x2912)

LCM = 24929773220352/2912

LCM = 8561048496

Thus, we can understand that the LCM of 728,528,329,446,442 is 8561048496.

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

• LCM of 790, 776, 569, 240, 436
• LCM of 101, 844, 356, 667, 420
• LCM of 416, 500, 158, 465, 381
• LCM of 436, 725, 827, 156, 476
• LCM of 865, 241, 356, 360, 674

1. What is the LCM of 728, 528, 329, 446, 442?

Answer: LCM of 728, 528, 329, 446, 442 is 8561048496.

2. How to calculate the LCM of 728, 528, 329, 446, 442?

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 728, 528, 329, 446, 442.

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}.