Given numbers are 146,208,366,398,198

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

The LCM of 146,208,366,398,198 is 18247539024.

Find LCM of 146,208,366,398,198 with Prime Factorization

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

2 x 3 x 73 x 104 x 61 x 199 x 33 = 18247539024

Therefore, the lowest common multiple of 146,208,366,398,198 is 18247539024.

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.

146 x 208 x 366 x 398 x 198 = 875881873152

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.

146 : 1, 2, 73, 146

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

366 : 1, 2, 3, 6, 61, 122, 183, 366

398 : 1, 2, 199, 398

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,208,366,398,198, is 2.

Now, the common factors can be found like this.

146:2x 73

208:2x 2x 2x 2x 13

366:2x 3x 61

398:2x 199

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 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 = 875881873152/(2x24)

LCM = 875881873152/48

LCM = 18247539024

Thus, we can understand that the LCM of 146,208,366,398,198 is 18247539024.

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

• LCM of 127, 614, 110, 207, 339
• LCM of 352, 932, 112, 318, 239
• LCM of 356, 117, 545, 897, 196
• LCM of 694, 651, 463, 259, 508
• LCM of 426, 138, 294, 444, 244

1. What is the LCM of 146, 208, 366, 398, 198?

Answer: LCM of 146, 208, 366, 398, 198 is 18247539024.

2. How to calculate the LCM of 146, 208, 366, 398, 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 146, 208, 366, 398, 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}.