Given numbers are 470,299,492,363,417

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

The LCM of 470,299,492,363,417 is 581439221220.

Find LCM of 470,299,492,363,417 with Prime Factorization

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

2 x 3 x 235 x 299 x 82 x 121 x 139 = 581439221220

Therefore, the lowest common multiple of 470,299,492,363,417 is 581439221220.

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.

470 x 299 x 492 x 363 x 417 = 10465905981960

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

299 : 1, 13, 23, 299

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

363 : 1, 3, 11, 33, 121, 363

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,299,492,363,417, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

299:13x 23

492:2x 2x 3x 41

363:3x 11x 11

417:3x 139

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 10465905981960/(1x18)

LCM = 10465905981960/18

LCM = 581439221220

Thus, we can understand that the LCM of 470,299,492,363,417 is 581439221220.

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

• LCM of 896, 817, 367, 627, 152
• LCM of 194, 442, 472, 469, 311
• LCM of 793, 138, 696, 340, 526
• LCM of 960, 803, 126, 290, 139
• LCM of 855, 531, 680, 281, 588

1. What is the LCM of 470, 299, 492, 363, 417?

Answer: LCM of 470, 299, 492, 363, 417 is 581439221220.

2. How to calculate the LCM of 470, 299, 492, 363, 417?

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 470, 299, 492, 363, 417.

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}.