Given numbers are 516,796,803,804,414

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

The LCM of 516,796,803,804,414 is 381190629996.

Find LCM of 516,796,803,804,414 with Prime Factorization

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

2 x 2 x 3 x 43 x 199 x 803 x 67 x 69 = 381190629996

Therefore, the lowest common multiple of 516,796,803,804,414 is 381190629996.

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.

516 x 796 x 803 x 804 x 414 = 109782901438848

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

796 : 1, 2, 4, 199, 398, 796

803 : 1, 11, 73, 803

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,796,803,804,414, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

796:2x 2x 199

803:11x 73

804:2x 2x 3x 67

414:2x 3x 3x 23

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 109782901438848/(1x288)

LCM = 109782901438848/288

LCM = 381190629996

Thus, we can understand that the LCM of 516,796,803,804,414 is 381190629996.

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

• LCM of 557, 309, 125, 677, 101
• LCM of 432, 409, 574, 493, 813
• LCM of 126, 659, 213, 414, 656
• LCM of 192, 730, 505, 444, 364
• LCM of 169, 750, 483, 266, 384

1. What is the LCM of 516, 796, 803, 804, 414?

Answer: LCM of 516, 796, 803, 804, 414 is 381190629996.

2. How to calculate the LCM of 516, 796, 803, 804, 414?

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 516, 796, 803, 804, 414.

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}.