Given numbers are 214,890,968,108,207

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

The LCM of 214,890,968,108,207 is 28622709720.

Find LCM of 214,890,968,108,207 with Prime Factorization

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

2 x 2 x 3 x 3 x 107 x 445 x 242 x 3 x 23 = 28622709720

Therefore, the lowest common multiple of 214,890,968,108,207 is 28622709720.

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 890 x 968 x 108 x 207 = 4121670199680

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

890 : 1, 2, 5, 10, 89, 178, 445, 890

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

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

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,890,968,108,207, is 1.

Now, the common factors can be found like this.

214:2x 107

890:2x 5x 89

968:2x 2x 2x 11x 11

108:2x 2x 3x 3x 3

207:3x 3x 23

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 4121670199680/(1x144)

LCM = 4121670199680/144

LCM = 28622709720

Thus, we can understand that the LCM of 214,890,968,108,207 is 28622709720.

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

• LCM of 959, 624, 917, 577, 556
• LCM of 700, 538, 600, 658, 311
• LCM of 658, 898, 223, 527, 535
• LCM of 476, 996, 457, 763, 937
• LCM of 886, 147, 640, 360, 808

1. What is the LCM of 214, 890, 968, 108, 207?

Answer: LCM of 214, 890, 968, 108, 207 is 28622709720.

2. How to calculate the LCM of 214, 890, 968, 108, 207?

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, 890, 968, 108, 207.

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}.