Given numbers are 108,214,386,208

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

The LCM of 108,214,386,208 is 115976016.

Find LCM of 108,214,386,208 with Prime Factorization

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

2 x 2 x 27 x 107 x 193 x 52 = 115976016

Therefore, the lowest common multiple of 108,214,386,208 is 115976016.

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.

108 x 214 x 386 x 208 = 1855616256

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.

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

214 : 1, 2, 107, 214

386 : 1, 2, 193, 386

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,214,386,208, is 2.

Now, the common factors can be found like this.

108:2x 2x 3x 3x 3

214:2x 107

386:2x 193

208:2x 2x 2x 2x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1855616256/(2x8)

LCM = 1855616256/16

LCM = 115976016

Thus, we can understand that the LCM of 108,214,386,208 is 115976016.

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

• LCM of 926, 548, 824, 128
• LCM of 275, 108, 367, 122
• LCM of 169, 187, 265, 567
• LCM of 693, 294, 472, 935
• LCM of 693, 407, 595, 696

1. What is the LCM of 108, 214, 386, 208?

Answer: LCM of 108, 214, 386, 208 is 115976016.

2. How to calculate the LCM of 108, 214, 386, 208?

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 108, 214, 386, 208.

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}.