Given numbers are 489,960,750,915

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

The LCM of 489,960,750,915 is 238632000.

Find LCM of 489,960,750,915 with Prime Factorization

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

2 x 3 x 5 x 163 x 32 x 25 x 61 = 238632000

Therefore, the lowest common multiple of 489,960,750,915 is 238632000.

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 960 x 750 x 915 = 322153200000

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

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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

915 : 1, 3, 5, 15, 61, 183, 305, 915

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,960,750,915, is 3.

Now, the common factors can be found like this.

489:3x 163

960:2x 2x 2x 2x 2x 2x 3x 5

750:2x 3x 5x 5x 5

915:3x 5x 61

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

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 322153200000/(3x450)

LCM = 322153200000/1350

LCM = 238632000

Thus, we can understand that the LCM of 489,960,750,915 is 238632000.

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

• LCM of 273, 633, 708, 277
• LCM of 370, 199, 110, 468
• LCM of 140, 710, 379, 116
• LCM of 764, 606, 815, 453
• LCM of 486, 145, 471, 936

1. What is the LCM of 489, 960, 750, 915?

Answer: LCM of 489, 960, 750, 915 is 238632000.

2. How to calculate the LCM of 489, 960, 750, 915?

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, 960, 750, 915.

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}.