Given numbers are 580,32,353,417

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

The LCM of 580,32,353,417 is 683012640.

Find LCM of 580,32,353,417 with Prime Factorization

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

2 x 2 x 145 x 8 x 353 x 417 = 683012640

Therefore, the lowest common multiple of 580,32,353,417 is 683012640.

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.

580 x 32 x 353 x 417 = 2732050560

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

32 : 1, 2, 4, 8, 16, 32

353 : 1, 353

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,32,353,417, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

32:2x 2x 2x 2x 2

353:353

417:3x 139

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 = 2732050560/(1x4)

LCM = 2732050560/4

LCM = 683012640

Thus, we can understand that the LCM of 580,32,353,417 is 683012640.

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

• LCM of 509, 20, 852, 359
• LCM of 758, 64, 249, 800
• LCM of 380, 50, 270, 925
• LCM of 161, 56, 526, 184
• LCM of 305, 69, 353, 619

1. What is the LCM of 580, 32, 353, 417?

Answer: LCM of 580, 32, 353, 417 is 683012640.

2. How to calculate the LCM of 580, 32, 353, 417?

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 580, 32, 353, 417.

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}.