Given numbers are 489,750,952,330

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

The LCM of 489,750,952,330 is 640101000.

Find LCM of 489,750,952,330 with Prime Factorization

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

2 x 3 x 5 x 163 x 25 x 476 x 11 = 640101000

Therefore, the lowest common multiple of 489,750,952,330 is 640101000.

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 750 x 952 x 330 = 115218180000

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,750,952,330, is 1.

Now, the common factors can be found like this.

489:3x 163

750:2x 3x 5x 5x 5

952:2x 2x 2x 7x 17

330:2x 3x 5x 11

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 115218180000/(1x180)

LCM = 115218180000/180

LCM = 640101000

Thus, we can understand that the LCM of 489,750,952,330 is 640101000.

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

• LCM of 373, 980, 484, 909
• LCM of 904, 297, 962, 348
• LCM of 438, 638, 935, 909
• LCM of 413, 968, 929, 440
• LCM of 736, 667, 432, 100

1. What is the LCM of 489, 750, 952, 330?

Answer: LCM of 489, 750, 952, 330 is 640101000.

2. How to calculate the LCM of 489, 750, 952, 330?

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, 750, 952, 330.

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}.