Given numbers are 507,387,284,676,528

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

The LCM of 507,387,284,676,528 is 817275888.

Find LCM of 507,387,284,676,528 with Prime Factorization

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

2 x 2 x 3 x 13 x 13 x 1 x 129 x 71 x 1 x 44 = 817275888

Therefore, the lowest common multiple of 507,387,284,676,528 is 817275888.

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.

507 x 387 x 284 x 676 x 528 = 19889226010368

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.

507 : 1, 3, 13, 39, 169, 507

387 : 1, 3, 9, 43, 129, 387

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,387,284,676,528, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

387:3x 3x 43

284:2x 2x 71

676:2x 2x 13x 13

528:2x 2x 2x 2x 3x 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 3x 3x 13x 13 = 24336

Therefore, the value for common factors is 24336.

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 = 19889226010368/(1x24336)

LCM = 19889226010368/24336

LCM = 817275888

Thus, we can understand that the LCM of 507,387,284,676,528 is 817275888.

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

• LCM of 994, 485, 156, 719, 425
• LCM of 765, 531, 675, 499, 993
• LCM of 357, 566, 705, 685, 322
• LCM of 406, 514, 590, 545, 933
• LCM of 613, 787, 258, 912, 682

1. What is the LCM of 507, 387, 284, 676, 528?

Answer: LCM of 507, 387, 284, 676, 528 is 817275888.

2. How to calculate the LCM of 507, 387, 284, 676, 528?

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 507, 387, 284, 676, 528.

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}.