Given numbers are 284,205,167,986,357

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

The LCM of 284,205,167,986,357 is 100659527220.

Find LCM of 284,205,167,986,357 with Prime Factorization

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

2 x 17 x 142 x 205 x 167 x 29 x 21 = 100659527220

Therefore, the lowest common multiple of 284,205,167,986,357 is 100659527220.

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.

284 x 205 x 167 x 986 x 357 = 3422423925480

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.

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

205 : 1, 5, 41, 205

167 : 1, 167

986 : 1, 2, 17, 29, 34, 58, 493, 986

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,205,167,986,357, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

205:5x 41

167:167

986:2x 17x 29

357:3x 7x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 3422423925480/(1x34)

LCM = 3422423925480/34

LCM = 100659527220

Thus, we can understand that the LCM of 284,205,167,986,357 is 100659527220.

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

• LCM of 918, 429, 937, 623, 435
• LCM of 505, 769, 142, 181, 184
• LCM of 749, 529, 462, 200, 736
• LCM of 132, 698, 951, 612, 197
• LCM of 278, 292, 710, 497, 809

1. What is the LCM of 284, 205, 167, 986, 357?

Answer: LCM of 284, 205, 167, 986, 357 is 100659527220.

2. How to calculate the LCM of 284, 205, 167, 986, 357?

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 284, 205, 167, 986, 357.

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}.