Given numbers are 284,302,214,736

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

The LCM of 284,302,214,736 is 844300192.

Find LCM of 284,302,214,736 with Prime Factorization

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

2 x 2 x 71 x 151 x 107 x 184 = 844300192

Therefore, the lowest common multiple of 284,302,214,736 is 844300192.

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.

284 x 302 x 214 x 736 = 13508803072

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.

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

302 : 1, 2, 151, 302

214 : 1, 2, 107, 214

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,302,214,736, is 2.

Now, the common factors can be found like this.

284:2x 2x 71

302:2x 151

214:2x 107

736:2x 2x 2x 2x 2x 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 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 = 13508803072/(2x8)

LCM = 13508803072/16

LCM = 844300192

Thus, we can understand that the LCM of 284,302,214,736 is 844300192.

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

• LCM of 199, 935, 578, 928
• LCM of 111, 186, 485, 406
• LCM of 655, 996, 772, 401
• LCM of 975, 195, 607, 345
• LCM of 759, 557, 214, 420

1. What is the LCM of 284, 302, 214, 736?

Answer: LCM of 284, 302, 214, 736 is 844300192.

2. How to calculate the LCM of 284, 302, 214, 736?

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 284, 302, 214, 736.

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}.