Given numbers are 798,442,298,414,193

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

The LCM of 798,442,298,414,193 is 349935363414.

Find LCM of 798,442,298,414,193 with Prime Factorization

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

2 x 3 x 133 x 221 x 149 x 69 x 193 = 349935363414

Therefore, the lowest common multiple of 798,442,298,414,193 is 349935363414.

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.

798 x 442 x 298 x 414 x 193 = 8398448721936

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

442 : 1, 2, 13, 17, 26, 34, 221, 442

298 : 1, 2, 149, 298

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,442,298,414,193, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

442:2x 13x 17

298:2x 149

414:2x 3x 3x 23

193:193

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 3 = 24

Therefore, the value for common factors is 24.

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 = 8398448721936/(1x24)

LCM = 8398448721936/24

LCM = 349935363414

Thus, we can understand that the LCM of 798,442,298,414,193 is 349935363414.

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

• LCM of 581, 159, 748, 285, 722
• LCM of 207, 495, 487, 537, 356
• LCM of 255, 491, 285, 944, 700
• LCM of 238, 792, 746, 303, 486
• LCM of 787, 950, 333, 625, 883

1. What is the LCM of 798, 442, 298, 414, 193?

Answer: LCM of 798, 442, 298, 414, 193 is 349935363414.

2. How to calculate the LCM of 798, 442, 298, 414, 193?

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 798, 442, 298, 414, 193.

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}.