Given numbers are 490,412,398,493,841

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

The LCM of 490,412,398,493,841 is 287184696820.

Find LCM of 490,412,398,493,841 with Prime Factorization

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

2 x 29 x 245 x 206 x 199 x 17 x 29 = 287184696820

Therefore, the lowest common multiple of 490,412,398,493,841 is 287184696820.

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.

490 x 412 x 398 x 493 x 841 = 33313424831120

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

412 : 1, 2, 4, 103, 206, 412

398 : 1, 2, 199, 398

493 : 1, 17, 29, 493

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,412,398,493,841, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

412:2x 2x 103

398:2x 199

493:17x 29

841:29x 29

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

2x 2x 29 = 116

Therefore, the value for common factors is 116.

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 = 33313424831120/(1x116)

LCM = 33313424831120/116

LCM = 287184696820

Thus, we can understand that the LCM of 490,412,398,493,841 is 287184696820.

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

• LCM of 191, 832, 577, 368, 443
• LCM of 258, 756, 777, 872, 286
• LCM of 732, 865, 951, 566, 180
• LCM of 756, 139, 638, 401, 982
• LCM of 870, 731, 863, 149, 242

1. What is the LCM of 490, 412, 398, 493, 841?

Answer: LCM of 490, 412, 398, 493, 841 is 287184696820.

2. How to calculate the LCM of 490, 412, 398, 493, 841?

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 490, 412, 398, 493, 841.

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}.