Given numbers are 215,217,345,391

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

The LCM of 215,217,345,391 is 54726315.

Find LCM of 215,217,345,391 with Prime Factorization

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

5 x 23 x 43 x 217 x 3 x 17 = 54726315

Therefore, the lowest common multiple of 215,217,345,391 is 54726315.

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 217 x 345 x 391 = 6293526225

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

217 : 1, 7, 31, 217

345 : 1, 3, 5, 15, 23, 69, 115, 345

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,217,345,391, is 1.

Now, the common factors can be found like this.

215:5x 43

217:7x 31

345:3x 5x 23

391:17x 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 23 = 115

Therefore, the value for common factors is 115.

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 = 6293526225/(1x115)

LCM = 6293526225/115

LCM = 54726315

Thus, we can understand that the LCM of 215,217,345,391 is 54726315.

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

• LCM of 858, 437, 915, 111
• LCM of 190, 700, 787, 631
• LCM of 990, 625, 723, 839
• LCM of 488, 956, 783, 344
• LCM of 111, 205, 174, 459

1. What is the LCM of 215, 217, 345, 391?

Answer: LCM of 215, 217, 345, 391 is 54726315.

2. How to calculate the LCM of 215, 217, 345, 391?

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, 217, 345, 391.

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}.