Given numbers are 811,988,424,728,792

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

The LCM of 811,988,424,728,792 is 58859544744.

Find LCM of 811,988,424,728,792 with Prime Factorization

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

2 x 2 x 2 x 13 x 811 x 19 x 53 x 7 x 99 = 58859544744

Therefore, the lowest common multiple of 811,988,424,728,792 is 58859544744.

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.

811 x 988 x 424 x 728 x 792 = 195884564908032

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.

811 : 1, 811

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

424 : 1, 2, 4, 8, 53, 106, 212, 424

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 811,988,424,728,792, is 1.

Now, the common factors can be found like this.

811:811

988:2x 2x 13x 19

424:2x 2x 2x 53

728:2x 2x 2x 7x 13

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 2x 2x 2x 13 = 3328

Therefore, the value for common factors is 3328.

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 = 195884564908032/(1x3328)

LCM = 195884564908032/3328

LCM = 58859544744

Thus, we can understand that the LCM of 811,988,424,728,792 is 58859544744.

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

• LCM of 971, 615, 621, 832, 108
• LCM of 500, 578, 194, 113, 923
• LCM of 714, 471, 233, 420, 448
• LCM of 297, 241, 166, 182, 537
• LCM of 867, 343, 363, 931, 919

1. What is the LCM of 811, 988, 424, 728, 792?

Answer: LCM of 811, 988, 424, 728, 792 is 58859544744.

2. How to calculate the LCM of 811, 988, 424, 728, 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 811, 988, 424, 728, 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}.