Given numbers are 830,750,489,792

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

The LCM of 830,750,489,792 is 1339371000.

Find LCM of 830,750,489,792 with Prime Factorization

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

2 x 3 x 5 x 83 x 25 x 163 x 132 = 1339371000

Therefore, the lowest common multiple of 830,750,489,792 is 1339371000.

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.

830 x 750 x 489 x 792 = 241086780000

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

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

489 : 1, 3, 163, 489

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,750,489,792, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

750:2x 3x 5x 5x 5

489:3x 163

792:2x 2x 2x 3x 3x 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 = 241086780000/(1x180)

LCM = 241086780000/180

LCM = 1339371000

Thus, we can understand that the LCM of 830,750,489,792 is 1339371000.

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

• LCM of 250, 193, 715, 324
• LCM of 466, 389, 964, 390
• LCM of 855, 627, 797, 596
• LCM of 695, 381, 444, 869
• LCM of 105, 861, 715, 505

1. What is the LCM of 830, 750, 489, 792?

Answer: LCM of 830, 750, 489, 792 is 1339371000.

2. How to calculate the LCM of 830, 750, 489, 792?

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 830, 750, 489, 792.

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}.