Given numbers are 284,415,389,715

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

The LCM of 284,415,389,715 is 6556198220.

Find LCM of 284,415,389,715 with Prime Factorization

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

5 x 284 x 83 x 389 x 143 = 6556198220

Therefore, the lowest common multiple of 284,415,389,715 is 6556198220.

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 415 x 389 x 715 = 32780991100

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

415 : 1, 5, 83, 415

389 : 1, 389

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,415,389,715, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

415:5x 83

389:389

715:5x 11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

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 = 32780991100/(1x5)

LCM = 32780991100/5

LCM = 6556198220

Thus, we can understand that the LCM of 284,415,389,715 is 6556198220.

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

• LCM of 939, 857, 409, 730
• LCM of 873, 577, 566, 787
• LCM of 701, 853, 416, 824
• LCM of 300, 663, 220, 432
• LCM of 851, 951, 869, 174

1. What is the LCM of 284, 415, 389, 715?

Answer: LCM of 284, 415, 389, 715 is 6556198220.

2. How to calculate the LCM of 284, 415, 389, 715?

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, 415, 389, 715.

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}.