Given numbers are 361,842,214,284,217

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

The LCM of 361,842,214,284,217 is 1002192502276.

Find LCM of 361,842,214,284,217 with Prime Factorization

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

2 x 361 x 421 x 107 x 142 x 217 = 1002192502276

Therefore, the lowest common multiple of 361,842,214,284,217 is 1002192502276.

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.

361 x 842 x 214 x 284 x 217 = 4008770009104

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.

361 : 1, 19, 361

842 : 1, 2, 421, 842

214 : 1, 2, 107, 214

284 : 1, 2, 4, 71, 142, 284

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,842,214,284,217, is 1.

Now, the common factors can be found like this.

361:19x 19

842:2x 421

214:2x 107

284:2x 2x 71

217:7x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 4008770009104/(1x4)

LCM = 4008770009104/4

LCM = 1002192502276

Thus, we can understand that the LCM of 361,842,214,284,217 is 1002192502276.

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

• LCM of 433, 319, 243, 491, 101
• LCM of 522, 827, 467, 166, 180
• LCM of 316, 725, 750, 238, 123
• LCM of 190, 108, 388, 419, 211
• LCM of 260, 949, 947, 171, 231

1. What is the LCM of 361, 842, 214, 284, 217?

Answer: LCM of 361, 842, 214, 284, 217 is 1002192502276.

2. How to calculate the LCM of 361, 842, 214, 284, 217?

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 361, 842, 214, 284, 217.

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}.