Given numbers are 315,470,259,581,115

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

The LCM of 315,470,259,581,115 is 2091443130.

Find LCM of 315,470,259,581,115 with Prime Factorization

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

5 x 7 x 9 x 94 x 37 x 83 x 23 = 2091443130

Therefore, the lowest common multiple of 315,470,259,581,115 is 2091443130.

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.

315 x 470 x 259 x 581 x 115 = 2562017834250

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

470 : 1, 2, 5, 10, 47, 94, 235, 470

259 : 1, 7, 37, 259

581 : 1, 7, 83, 581

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,470,259,581,115, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

470:2x 5x 47

259:7x 37

581:7x 83

115:5x 23

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

5x 5x 7x 7 = 1225

Therefore, the value for common factors is 1225.

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 = 2562017834250/(1x1225)

LCM = 2562017834250/1225

LCM = 2091443130

Thus, we can understand that the LCM of 315,470,259,581,115 is 2091443130.

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

• LCM of 155, 586, 386, 443, 723
• LCM of 514, 393, 394, 538, 637
• LCM of 418, 108, 993, 783, 289
• LCM of 467, 851, 705, 560, 942
• LCM of 255, 617, 457, 429, 557

1. What is the LCM of 315, 470, 259, 581, 115?

Answer: LCM of 315, 470, 259, 581, 115 is 2091443130.

2. How to calculate the LCM of 315, 470, 259, 581, 115?

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 315, 470, 259, 581, 115.

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}.