Given numbers are 590,233,275,317,210

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

The LCM of 590,233,275,317,210 is 50332578450.

Find LCM of 590,233,275,317,210 with Prime Factorization

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

2 x 5 x 59 x 233 x 55 x 317 x 21 = 50332578450

Therefore, the lowest common multiple of 590,233,275,317,210 is 50332578450.

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.

590 x 233 x 275 x 317 x 210 = 2516628922500

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

233 : 1, 233

275 : 1, 5, 11, 25, 55, 275

317 : 1, 317

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,233,275,317,210, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

233:233

275:5x 5x 11

317:317

210:2x 3x 5x 7

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

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 2516628922500/(1x50)

LCM = 2516628922500/50

LCM = 50332578450

Thus, we can understand that the LCM of 590,233,275,317,210 is 50332578450.

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

• LCM of 504, 772, 103, 174, 142
• LCM of 613, 674, 484, 800, 727
• LCM of 413, 882, 867, 171, 536
• LCM of 677, 893, 733, 191, 522
• LCM of 915, 554, 413, 345, 847

1. What is the LCM of 590, 233, 275, 317, 210?

Answer: LCM of 590, 233, 275, 317, 210 is 50332578450.

2. How to calculate the LCM of 590, 233, 275, 317, 210?

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 590, 233, 275, 317, 210.

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}.