Given numbers are 214,106,284,250,862

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

The LCM of 214,106,284,250,862 is 86769135500.

Find LCM of 214,106,284,250,862 with Prime Factorization

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

2 x 107 x 53 x 142 x 125 x 431 = 86769135500

Therefore, the lowest common multiple of 214,106,284,250,862 is 86769135500.

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 106 x 284 x 250 x 862 = 1388306168000

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

106 : 1, 2, 53, 106

284 : 1, 2, 4, 71, 142, 284

250 : 1, 2, 5, 10, 25, 50, 125, 250

862 : 1, 2, 431, 862

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,106,284,250,862, is 2.

Now, the common factors can be found like this.

214:2x 107

106:2x 53

284:2x 2x 71

250:2x 5x 5x 5

862:2x 431

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 = 1388306168000/(2x8)

LCM = 1388306168000/16

LCM = 86769135500

Thus, we can understand that the LCM of 214,106,284,250,862 is 86769135500.

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

• LCM of 749, 168, 801, 166, 240
• LCM of 426, 170, 949, 326, 167
• LCM of 471, 865, 371, 397, 437
• LCM of 939, 455, 991, 908, 223
• LCM of 600, 225, 337, 353, 359

1. What is the LCM of 214, 106, 284, 250, 862?

Answer: LCM of 214, 106, 284, 250, 862 is 86769135500.

2. How to calculate the LCM of 214, 106, 284, 250, 862?

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, 106, 284, 250, 862.

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}.