Given numbers are 988,460,422,299,409

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

The LCM of 988,460,422,299,409 is 9805292380.

Find LCM of 988,460,422,299,409 with Prime Factorization

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

2 x 2 x 13 x 23 x 19 x 5 x 211 x 1 x 409 = 9805292380

Therefore, the lowest common multiple of 988,460,422,299,409 is 9805292380.

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.

988 x 460 x 422 x 299 x 409 = 23454259372960

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

422 : 1, 2, 211, 422

299 : 1, 13, 23, 299

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,460,422,299,409, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

460:2x 2x 5x 23

422:2x 211

299:13x 23

409:409

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 2x 13x 23 = 2392

Therefore, the value for common factors is 2392.

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 = 23454259372960/(1x2392)

LCM = 23454259372960/2392

LCM = 9805292380

Thus, we can understand that the LCM of 988,460,422,299,409 is 9805292380.

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

• LCM of 853, 296, 950, 489, 333
• LCM of 537, 419, 321, 662, 935
• LCM of 849, 993, 903, 199, 607
• LCM of 635, 808, 370, 170, 293
• LCM of 586, 984, 167, 464, 233

1. What is the LCM of 988, 460, 422, 299, 409?

Answer: LCM of 988, 460, 422, 299, 409 is 9805292380.

2. How to calculate the LCM of 988, 460, 422, 299, 409?

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 988, 460, 422, 299, 409.

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}.