Given numbers are 198,390,953,417,678

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

The LCM of 198,390,953,417,678 is 192648082770.

Find LCM of 198,390,953,417,678 with Prime Factorization

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

2 x 3 x 33 x 65 x 953 x 139 x 113 = 192648082770

Therefore, the lowest common multiple of 198,390,953,417,678 is 192648082770.

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.

198 x 390 x 953 x 417 x 678 = 20805992939160

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.

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

953 : 1, 953

417 : 1, 3, 139, 417

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,390,953,417,678, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

390:2x 3x 5x 13

953:953

417:3x 139

678:2x 3x 113

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 20805992939160/(1x108)

LCM = 20805992939160/108

LCM = 192648082770

Thus, we can understand that the LCM of 198,390,953,417,678 is 192648082770.

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

• LCM of 372, 498, 691, 863, 558
• LCM of 480, 362, 683, 145, 383
• LCM of 589, 180, 195, 451, 444
• LCM of 968, 468, 836, 672, 773
• LCM of 845, 901, 157, 492, 214

1. What is the LCM of 198, 390, 953, 417, 678?

Answer: LCM of 198, 390, 953, 417, 678 is 192648082770.

2. How to calculate the LCM of 198, 390, 953, 417, 678?

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 198, 390, 953, 417, 678.

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}.