Given numbers are 198,523,305,812

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

The LCM of 198,523,305,812 is 12823091820.

Find LCM of 198,523,305,812 with Prime Factorization

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

2 x 99 x 523 x 305 x 406 = 12823091820

Therefore, the lowest common multiple of 198,523,305,812 is 12823091820.

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 523 x 305 x 812 = 25646183640

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

523 : 1, 523

305 : 1, 5, 61, 305

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,523,305,812, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

523:523

305:5x 61

812:2x 2x 7x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 25646183640/(1x2)

LCM = 25646183640/2

LCM = 12823091820

Thus, we can understand that the LCM of 198,523,305,812 is 12823091820.

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

• LCM of 255, 394, 232, 338
• LCM of 775, 641, 749, 351
• LCM of 281, 986, 309, 996
• LCM of 662, 575, 209, 511
• LCM of 309, 800, 475, 531

1. What is the LCM of 198, 523, 305, 812?

Answer: LCM of 198, 523, 305, 812 is 12823091820.

2. How to calculate the LCM of 198, 523, 305, 812?

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, 523, 305, 812.

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}.