Given numbers are 264,792,788,610

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

The LCM of 264,792,788,610 is 47587320.

Find LCM of 264,792,788,610 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 1 x 3 x 197 x 305 = 47587320

Therefore, the lowest common multiple of 264,792,788,610 is 47587320.

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.

264 x 792 x 788 x 610 = 100504419840

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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

788 : 1, 2, 4, 197, 394, 788

610 : 1, 2, 5, 10, 61, 122, 305, 610

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,792,788,610, is 2.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

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

788:2x 2x 197

610:2x 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 2x 2x 2x 2x 3x 11 = 1056

Therefore, the value for common factors is 1056.

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 = 100504419840/(2x1056)

LCM = 100504419840/2112

LCM = 47587320

Thus, we can understand that the LCM of 264,792,788,610 is 47587320.

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

• LCM of 305, 980, 390, 423
• LCM of 865, 573, 882, 530
• LCM of 900, 394, 210, 180
• LCM of 933, 939, 894, 603
• LCM of 123, 545, 185, 393

1. What is the LCM of 264, 792, 788, 610?

Answer: LCM of 264, 792, 788, 610 is 47587320.

2. How to calculate the LCM of 264, 792, 788, 610?

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 264, 792, 788, 610.

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}.