Given numbers are 458,298,585,924,198

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

The LCM of 458,298,585,924,198 is 6147921780.

Find LCM of 458,298,585,924,198 with Prime Factorization

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

2 x 3 x 3 x 11 x 229 x 149 x 65 x 14 x 1 = 6147921780

Therefore, the lowest common multiple of 458,298,585,924,198 is 6147921780.

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.

458 x 298 x 585 x 924 x 198 = 14607462149280

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.

458 : 1, 2, 229, 458

298 : 1, 2, 149, 298

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,298,585,924,198, is 1.

Now, the common factors can be found like this.

458:2x 229

298:2x 149

585:3x 3x 5x 13

924:2x 2x 3x 7x 11

198:2x 3x 3x 11

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 3x 3x 3x 11 = 2376

Therefore, the value for common factors is 2376.

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 = 14607462149280/(1x2376)

LCM = 14607462149280/2376

LCM = 6147921780

Thus, we can understand that the LCM of 458,298,585,924,198 is 6147921780.

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

• LCM of 127, 787, 465, 130, 474
• LCM of 364, 149, 818, 498, 521
• LCM of 997, 150, 970, 578, 981
• LCM of 239, 382, 565, 791, 875
• LCM of 273, 818, 977, 178, 403

1. What is the LCM of 458, 298, 585, 924, 198?

Answer: LCM of 458, 298, 585, 924, 198 is 6147921780.

2. How to calculate the LCM of 458, 298, 585, 924, 198?

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 458, 298, 585, 924, 198.

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}.