Given numbers are 216,311,968,790

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

The LCM of 216,311,968,790 is 3210676920.

Find LCM of 216,311,968,790 with Prime Factorization

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

2 x 2 x 2 x 27 x 311 x 121 x 395 = 3210676920

Therefore, the lowest common multiple of 216,311,968,790 is 3210676920.

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.

216 x 311 x 968 x 790 = 51370830720

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

311 : 1, 311

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,311,968,790, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

311:311

968:2x 2x 2x 11x 11

790:2x 5x 79

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 2 = 16

Therefore, the value for common factors is 16.

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 = 51370830720/(1x16)

LCM = 51370830720/16

LCM = 3210676920

Thus, we can understand that the LCM of 216,311,968,790 is 3210676920.

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

• LCM of 442, 403, 702, 202
• LCM of 829, 900, 199, 263
• LCM of 482, 636, 877, 499
• LCM of 234, 714, 428, 126
• LCM of 974, 785, 140, 653

1. What is the LCM of 216, 311, 968, 790?

Answer: LCM of 216, 311, 968, 790 is 3210676920.

2. How to calculate the LCM of 216, 311, 968, 790?

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 216, 311, 968, 790.

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}.