Given numbers are 800,386,362,517

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

The LCM of 800,386,362,517 is 14448288800.

Find LCM of 800,386,362,517 with Prime Factorization

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

2 x 400 x 193 x 181 x 517 = 14448288800

Therefore, the lowest common multiple of 800,386,362,517 is 14448288800.

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.

800 x 386 x 362 x 517 = 57793155200

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.

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

386 : 1, 2, 193, 386

362 : 1, 2, 181, 362

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,386,362,517, is 1.

Now, the common factors can be found like this.

800:2x 2x 2x 2x 2x 5x 5

386:2x 193

362:2x 181

517:11x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 57793155200/(1x4)

LCM = 57793155200/4

LCM = 14448288800

Thus, we can understand that the LCM of 800,386,362,517 is 14448288800.

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

• LCM of 864, 347, 142, 944
• LCM of 654, 312, 686, 202
• LCM of 123, 803, 953, 680
• LCM of 639, 191, 258, 673
• LCM of 397, 526, 184, 628

1. What is the LCM of 800, 386, 362, 517?

Answer: LCM of 800, 386, 362, 517 is 14448288800.

2. How to calculate the LCM of 800, 386, 362, 517?

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 800, 386, 362, 517.

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}.