Given numbers are 514,364,450,598,487

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

The LCM of 514,364,450,598,487 is 235762008300.

Find LCM of 514,364,450,598,487 with Prime Factorization

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

2 x 13 x 257 x 14 x 225 x 23 x 487 = 235762008300

Therefore, the lowest common multiple of 514,364,450,598,487 is 235762008300.

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.

514 x 364 x 450 x 598 x 487 = 24519248863200

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.

514 : 1, 2, 257, 514

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

598 : 1, 2, 13, 23, 26, 46, 299, 598

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,364,450,598,487, is 1.

Now, the common factors can be found like this.

514:2x 257

364:2x 2x 7x 13

450:2x 3x 3x 5x 5

598:2x 13x 23

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 13 = 104

Therefore, the value for common factors is 104.

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 = 24519248863200/(1x104)

LCM = 24519248863200/104

LCM = 235762008300

Thus, we can understand that the LCM of 514,364,450,598,487 is 235762008300.

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

• LCM of 328, 942, 342, 147, 599
• LCM of 448, 515, 109, 958, 352
• LCM of 967, 915, 149, 350, 645
• LCM of 697, 323, 141, 437, 943
• LCM of 953, 284, 617, 226, 695

1. What is the LCM of 514, 364, 450, 598, 487?

Answer: LCM of 514, 364, 450, 598, 487 is 235762008300.

2. How to calculate the LCM of 514, 364, 450, 598, 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 514, 364, 450, 598, 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}.