Given numbers are 198,423,642,990

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

The LCM of 198,423,642,990 is 4978710.

Find LCM of 198,423,642,990 with Prime Factorization

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

2 x 3 x 3 x 11 x 1 x 47 x 107 x 5 = 4978710

Therefore, the lowest common multiple of 198,423,642,990 is 4978710.

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 423 x 642 x 990 = 53232367320

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

423 : 1, 3, 9, 47, 141, 423

642 : 1, 2, 3, 6, 107, 214, 321, 642

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,423,642,990, is 3.

Now, the common factors can be found like this.

198:2x 3x 3x 11

423:3x 3x 47

642:2x 3x 107

990:2x 3x 3x 5x 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 3x 3x 3x 11 = 3564

Therefore, the value for common factors is 3564.

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 = 53232367320/(3x3564)

LCM = 53232367320/10692

LCM = 4978710

Thus, we can understand that the LCM of 198,423,642,990 is 4978710.

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

• LCM of 187, 533, 821, 209
• LCM of 216, 946, 270, 705
• LCM of 358, 803, 645, 153
• LCM of 851, 981, 813, 245
• LCM of 635, 290, 295, 384

1. What is the LCM of 198, 423, 642, 990?

Answer: LCM of 198, 423, 642, 990 is 4978710.

2. How to calculate the LCM of 198, 423, 642, 990?

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, 423, 642, 990.

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}.