Given numbers are 312,391,221,515

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

The LCM of 312,391,221,515 is 62825880.

Find LCM of 312,391,221,515 with Prime Factorization

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

13 x 17 x 24 x 23 x 1 x 515 = 62825880

Therefore, the lowest common multiple of 312,391,221,515 is 62825880.

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.

312 x 391 x 221 x 515 = 13884519480

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

391 : 1, 17, 23, 391

221 : 1, 13, 17, 221

515 : 1, 5, 103, 515

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,391,221,515, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

391:17x 23

221:13x 17

515:5x 103

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

13x 17 = 221

Therefore, the value for common factors is 221.

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 = 13884519480/(1x221)

LCM = 13884519480/221

LCM = 62825880

Thus, we can understand that the LCM of 312,391,221,515 is 62825880.

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

• LCM of 858, 362, 690, 641
• LCM of 467, 111, 748, 955
• LCM of 160, 930, 730, 160
• LCM of 905, 695, 486, 109
• LCM of 220, 829, 429, 208

1. What is the LCM of 312, 391, 221, 515?

Answer: LCM of 312, 391, 221, 515 is 62825880.

2. How to calculate the LCM of 312, 391, 221, 515?

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 312, 391, 221, 515.

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}.