Given numbers are 215,612,323,493

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

The LCM of 215,612,323,493 is 72500580.

Find LCM of 215,612,323,493 with Prime Factorization

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

17 x 215 x 36 x 19 x 29 = 72500580

Therefore, the lowest common multiple of 215,612,323,493 is 72500580.

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.

215 x 612 x 323 x 493 = 20952667620

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.

215 : 1, 5, 43, 215

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

323 : 1, 17, 19, 323

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,612,323,493, is 1.

Now, the common factors can be found like this.

215:5x 43

612:2x 2x 3x 3x 17

323:17x 19

493:17x 29

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 20952667620/(1x289)

LCM = 20952667620/289

LCM = 72500580

Thus, we can understand that the LCM of 215,612,323,493 is 72500580.

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

• LCM of 614, 482, 642, 773
• LCM of 279, 200, 620, 184
• LCM of 263, 752, 903, 566
• LCM of 818, 187, 854, 797
• LCM of 552, 342, 453, 100

1. What is the LCM of 215, 612, 323, 493?

Answer: LCM of 215, 612, 323, 493 is 72500580.

2. How to calculate the LCM of 215, 612, 323, 493?

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 215, 612, 323, 493.

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}.