Given numbers are 415,412,407,584

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

The LCM of 415,412,407,584 is 10159973560.

Find LCM of 415,412,407,584 with Prime Factorization

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

2 x 2 x 415 x 103 x 407 x 146 = 10159973560

Therefore, the lowest common multiple of 415,412,407,584 is 10159973560.

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.

415 x 412 x 407 x 584 = 40639894240

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.

415 : 1, 5, 83, 415

412 : 1, 2, 4, 103, 206, 412

407 : 1, 11, 37, 407

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,412,407,584, is 1.

Now, the common factors can be found like this.

415:5x 83

412:2x 2x 103

407:11x 37

584:2x 2x 2x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 40639894240/(1x4)

LCM = 40639894240/4

LCM = 10159973560

Thus, we can understand that the LCM of 415,412,407,584 is 10159973560.

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

• LCM of 661, 113, 294, 708
• LCM of 809, 781, 615, 987
• LCM of 794, 804, 660, 438
• LCM of 833, 401, 472, 517
• LCM of 203, 651, 652, 519

1. What is the LCM of 415, 412, 407, 584?

Answer: LCM of 415, 412, 407, 584 is 10159973560.

2. How to calculate the LCM of 415, 412, 407, 584?

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 415, 412, 407, 584.

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}.