Given numbers are 230,575,792,760

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

The LCM of 230,575,792,760 is 8652600.

Find LCM of 230,575,792,760 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 1 x 5 x 99 x 19 = 8652600

Therefore, the lowest common multiple of 230,575,792,760 is 8652600.

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.

230 x 575 x 792 x 760 = 79603920000

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

575 : 1, 5, 23, 25, 115, 575

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

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,575,792,760, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

575:5x 5x 23

792:2x 2x 2x 3x 3x 11

760:2x 2x 2x 5x 19

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 2x 2x 5x 5x 23 = 9200

Therefore, the value for common factors is 9200.

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 = 79603920000/(1x9200)

LCM = 79603920000/9200

LCM = 8652600

Thus, we can understand that the LCM of 230,575,792,760 is 8652600.

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

• LCM of 885, 988, 424, 669
• LCM of 806, 902, 419, 310
• LCM of 237, 874, 249, 607
• LCM of 998, 797, 122, 154
• LCM of 340, 914, 592, 794

1. What is the LCM of 230, 575, 792, 760?

Answer: LCM of 230, 575, 792, 760 is 8652600.

2. How to calculate the LCM of 230, 575, 792, 760?

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 230, 575, 792, 760.

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}.