Given numbers are 199,305,432,642

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

The LCM of 199,305,432,642 is 2805565680.

Find LCM of 199,305,432,642 with Prime Factorization

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

2 x 3 x 199 x 305 x 72 x 107 = 2805565680

Therefore, the lowest common multiple of 199,305,432,642 is 2805565680.

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.

199 x 305 x 432 x 642 = 16833394080

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.

199 : 1, 199

305 : 1, 5, 61, 305

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,305,432,642, is 1.

Now, the common factors can be found like this.

199:199

305:5x 61

432:2x 2x 2x 2x 3x 3x 3

642:2x 3x 107

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 16833394080/(1x6)

LCM = 16833394080/6

LCM = 2805565680

Thus, we can understand that the LCM of 199,305,432,642 is 2805565680.

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

• LCM of 419, 954, 150, 191
• LCM of 419, 264, 873, 932
• LCM of 129, 218, 222, 718
• LCM of 293, 962, 394, 757
• LCM of 909, 965, 448, 441

1. What is the LCM of 199, 305, 432, 642?

Answer: LCM of 199, 305, 432, 642 is 2805565680.

2. How to calculate the LCM of 199, 305, 432, 642?

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 199, 305, 432, 642.

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}.