Given numbers are 198,428,546,566

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

The LCM of 198,428,546,566 is 1091206116.

Find LCM of 198,428,546,566 with Prime Factorization

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

2 x 3 x 33 x 214 x 91 x 283 = 1091206116

Therefore, the lowest common multiple of 198,428,546,566 is 1091206116.

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 428 x 546 x 566 = 26188946784

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

428 : 1, 2, 4, 107, 214, 428

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,428,546,566, is 2.

Now, the common factors can be found like this.

198:2x 3x 3x 11

428:2x 2x 107

546:2x 3x 7x 13

566:2x 283

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 3 = 12

Therefore, the value for common factors is 12.

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 = 26188946784/(2x12)

LCM = 26188946784/24

LCM = 1091206116

Thus, we can understand that the LCM of 198,428,546,566 is 1091206116.

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

• LCM of 374, 590, 382, 742
• LCM of 833, 828, 146, 865
• LCM of 909, 270, 383, 249
• LCM of 141, 644, 517, 108
• LCM of 951, 597, 314, 294

1. What is the LCM of 198, 428, 546, 566?

Answer: LCM of 198, 428, 546, 566 is 1091206116.

2. How to calculate the LCM of 198, 428, 546, 566?

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, 428, 546, 566.

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}.