Given numbers are 575,365,220,317

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

The LCM of 575,365,220,317 is 585467300.

Find LCM of 575,365,220,317 with Prime Factorization

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

5 x 115 x 73 x 44 x 317 = 585467300

Therefore, the lowest common multiple of 575,365,220,317 is 585467300.

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.

575 x 365 x 220 x 317 = 14636682500

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.

575 : 1, 5, 23, 25, 115, 575

365 : 1, 5, 73, 365

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,365,220,317, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

365:5x 73

220:2x 2x 5x 11

317:317

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 14636682500/(1x25)

LCM = 14636682500/25

LCM = 585467300

Thus, we can understand that the LCM of 575,365,220,317 is 585467300.

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

• LCM of 180, 384, 657, 516
• LCM of 978, 189, 464, 523
• LCM of 350, 858, 732, 264
• LCM of 671, 582, 636, 491
• LCM of 752, 606, 755, 344

1. What is the LCM of 575, 365, 220, 317?

Answer: LCM of 575, 365, 220, 317 is 585467300.

2. How to calculate the LCM of 575, 365, 220, 317?

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 575, 365, 220, 317.

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}.