Given numbers are 878,612,397,756,792

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

The LCM of 878,612,397,756,792 is 49277472552.

Find LCM of 878,612,397,756,792 with Prime Factorization

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

2 x 2 x 3 x 3 x 439 x 17 x 397 x 21 x 22 = 49277472552

Therefore, the lowest common multiple of 878,612,397,756,792 is 49277472552.

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.

878 x 612 x 397 x 756 x 792 = 127727208854784

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.

878 : 1, 2, 439, 878

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

397 : 1, 397

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 878,612,397,756,792, is 1.

Now, the common factors can be found like this.

878:2x 439

612:2x 2x 3x 3x 17

397:397

756:2x 2x 3x 3x 3x 7

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 2x 2x 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 127727208854784/(1x2592)

LCM = 127727208854784/2592

LCM = 49277472552

Thus, we can understand that the LCM of 878,612,397,756,792 is 49277472552.

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

• LCM of 388, 746, 658, 265, 986
• LCM of 118, 964, 845, 847, 773
• LCM of 151, 245, 853, 700, 107
• LCM of 643, 396, 505, 594, 276
• LCM of 597, 789, 425, 607, 526

1. What is the LCM of 878, 612, 397, 756, 792?

Answer: LCM of 878, 612, 397, 756, 792 is 49277472552.

2. How to calculate the LCM of 878, 612, 397, 756, 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 878, 612, 397, 756, 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}.