Given numbers are 489,393,393,442

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

The LCM of 489,393,393,442 is 28314078.

Find LCM of 489,393,393,442 with Prime Factorization

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

3 x 131 x 163 x 1 x 1 x 442 = 28314078

Therefore, the lowest common multiple of 489,393,393,442 is 28314078.

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 393 x 393 x 442 = 33382297962

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

393 : 1, 3, 131, 393

393 : 1, 3, 131, 393

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,393,393,442, is 1.

Now, the common factors can be found like this.

489:3x 163

393:3x 131

393:3x 131

442:2x 13x 17

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

3x 3x 131 = 1179

Therefore, the value for common factors is 1179.

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 = 33382297962/(1x1179)

LCM = 33382297962/1179

LCM = 28314078

Thus, we can understand that the LCM of 489,393,393,442 is 28314078.

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

• LCM of 229, 248, 732, 104
• LCM of 826, 675, 714, 760
• LCM of 610, 984, 843, 340
• LCM of 557, 682, 857, 600
• LCM of 197, 263, 282, 812

1. What is the LCM of 489, 393, 393, 442?

Answer: LCM of 489, 393, 393, 442 is 28314078.

2. How to calculate the LCM of 489, 393, 393, 442?

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, 393, 393, 442.

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}.