Given numbers are 489,415,570,199

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

The LCM of 489,415,570,199 is 1534594470.

Find LCM of 489,415,570,199 with Prime Factorization

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

3 x 5 x 163 x 83 x 38 x 199 = 1534594470

Therefore, the lowest common multiple of 489,415,570,199 is 1534594470.

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.

489 x 415 x 570 x 199 = 23018917050

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.

489 : 1, 3, 163, 489

415 : 1, 5, 83, 415

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,415,570,199, is 1.

Now, the common factors can be found like this.

489:3x 163

415:5x 83

570:2x 3x 5x 19

199:199

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 23018917050/(1x15)

LCM = 23018917050/15

LCM = 1534594470

Thus, we can understand that the LCM of 489,415,570,199 is 1534594470.

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

• LCM of 200, 322, 743, 621
• LCM of 679, 216, 124, 226
• LCM of 322, 154, 275, 545
• LCM of 866, 594, 942, 416
• LCM of 989, 230, 982, 678

1. What is the LCM of 489, 415, 570, 199?

Answer: LCM of 489, 415, 570, 199 is 1534594470.

2. How to calculate the LCM of 489, 415, 570, 199?

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 489, 415, 570, 199.

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}.