Given numbers are 442,374,528,440,487

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

The LCM of 442,374,528,440,487 is 284135280.

Find LCM of 442,374,528,440,487 with Prime Factorization

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

2 x 2 x 2 x 11 x 17 x 13 x 1 x 6 x 5 x 487 = 284135280

Therefore, the lowest common multiple of 442,374,528,440,487 is 284135280.

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.

442 x 374 x 528 x 440 x 487 = 18702920670720

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.

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,374,528,440,487, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

374:2x 11x 17

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

440:2x 2x 2x 5x 11

487:487

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 11x 11x 17 = 65824

Therefore, the value for common factors is 65824.

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 = 18702920670720/(1x65824)

LCM = 18702920670720/65824

LCM = 284135280

Thus, we can understand that the LCM of 442,374,528,440,487 is 284135280.

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

• LCM of 788, 757, 500, 748, 958
• LCM of 146, 434, 210, 478, 983
• LCM of 874, 728, 410, 282, 506
• LCM of 154, 767, 970, 722, 106
• LCM of 987, 996, 257, 378, 407

1. What is the LCM of 442, 374, 528, 440, 487?

Answer: LCM of 442, 374, 528, 440, 487 is 284135280.

2. How to calculate the LCM of 442, 374, 528, 440, 487?

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 442, 374, 528, 440, 487.

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}.