Given numbers are 115,214,362,216

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

The LCM of 115,214,362,216 is 481076280.

Find LCM of 115,214,362,216 with Prime Factorization

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

2 x 115 x 107 x 181 x 108 = 481076280

Therefore, the lowest common multiple of 115,214,362,216 is 481076280.

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.

115 x 214 x 362 x 216 = 1924305120

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.

115 : 1, 5, 23, 115

214 : 1, 2, 107, 214

362 : 1, 2, 181, 362

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,214,362,216, is 1.

Now, the common factors can be found like this.

115:5x 23

214:2x 107

362:2x 181

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

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 = 1924305120/(1x4)

LCM = 1924305120/4

LCM = 481076280

Thus, we can understand that the LCM of 115,214,362,216 is 481076280.

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

• LCM of 879, 252, 877, 636
• LCM of 447, 206, 917, 916
• LCM of 798, 822, 439, 666
• LCM of 619, 218, 144, 920
• LCM of 479, 814, 223, 759

1. What is the LCM of 115, 214, 362, 216?

Answer: LCM of 115, 214, 362, 216 is 481076280.

2. How to calculate the LCM of 115, 214, 362, 216?

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 115, 214, 362, 216.

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}.