Given numbers are 795,366,714,792

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

The LCM of 795,366,714,792 is 1523518920.

Find LCM of 795,366,714,792 with Prime Factorization

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

2 x 3 x 265 x 61 x 119 x 132 = 1523518920

Therefore, the lowest common multiple of 795,366,714,792 is 1523518920.

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.

795 x 366 x 714 x 792 = 164540043360

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.

795 : 1, 3, 5, 15, 53, 159, 265, 795

366 : 1, 2, 3, 6, 61, 122, 183, 366

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,366,714,792, is 3.

Now, the common factors can be found like this.

795:3x 5x 53

366:2x 3x 61

714:2x 3x 7x 17

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 3 = 36

Therefore, the value for common factors is 36.

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 = 164540043360/(3x36)

LCM = 164540043360/108

LCM = 1523518920

Thus, we can understand that the LCM of 795,366,714,792 is 1523518920.

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

• LCM of 488, 418, 285, 315
• LCM of 503, 529, 143, 586
• LCM of 172, 100, 238, 366
• LCM of 534, 126, 849, 601
• LCM of 240, 432, 739, 646

1. What is the LCM of 795, 366, 714, 792?

Answer: LCM of 795, 366, 714, 792 is 1523518920.

2. How to calculate the LCM of 795, 366, 714, 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 795, 366, 714, 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}.