Given numbers are 214,159,664,162

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

The LCM of 214,159,664,162 is 305009064.

Find LCM of 214,159,664,162 with Prime Factorization

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

2 x 3 x 107 x 53 x 332 x 27 = 305009064

Therefore, the lowest common multiple of 214,159,664,162 is 305009064.

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.

214 x 159 x 664 x 162 = 3660108768

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.

214 : 1, 2, 107, 214

159 : 1, 3, 53, 159

664 : 1, 2, 4, 8, 83, 166, 332, 664

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,159,664,162, is 1.

Now, the common factors can be found like this.

214:2x 107

159:3x 53

664:2x 2x 2x 83

162:2x 3x 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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 3660108768/(1x12)

LCM = 3660108768/12

LCM = 305009064

Thus, we can understand that the LCM of 214,159,664,162 is 305009064.

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

• LCM of 766, 419, 264, 773
• LCM of 336, 553, 472, 883
• LCM of 679, 373, 916, 259
• LCM of 681, 301, 359, 660
• LCM of 989, 808, 709, 179

1. What is the LCM of 214, 159, 664, 162?

Answer: LCM of 214, 159, 664, 162 is 305009064.

2. How to calculate the LCM of 214, 159, 664, 162?

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 214, 159, 664, 162.

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}.