Given numbers are 398,462,187,337,198

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

The LCM of 398,462,187,337,198 is 1580138406.

Find LCM of 398,462,187,337,198 with Prime Factorization

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

2 x 3 x 11 x 199 x 7 x 17 x 337 x 3 = 1580138406

Therefore, the lowest common multiple of 398,462,187,337,198 is 1580138406.

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.

398 x 462 x 187 x 337 x 198 = 2294360965512

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.

398 : 1, 2, 199, 398

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

187 : 1, 11, 17, 187

337 : 1, 337

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 398,462,187,337,198, is 1.

Now, the common factors can be found like this.

398:2x 199

462:2x 3x 7x 11

187:11x 17

337:337

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 3x 11x 11 = 1452

Therefore, the value for common factors is 1452.

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 = 2294360965512/(1x1452)

LCM = 2294360965512/1452

LCM = 1580138406

Thus, we can understand that the LCM of 398,462,187,337,198 is 1580138406.

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

• LCM of 922, 328, 986, 829, 150
• LCM of 473, 175, 337, 566, 401
• LCM of 264, 204, 300, 253, 116
• LCM of 656, 568, 435, 503, 837
• LCM of 278, 152, 241, 200, 404

1. What is the LCM of 398, 462, 187, 337, 198?

Answer: LCM of 398, 462, 187, 337, 198 is 1580138406.

2. How to calculate the LCM of 398, 462, 187, 337, 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 398, 462, 187, 337, 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}.