Given numbers are 457,855,106,366,792

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

The LCM of 457,855,106,366,792 is 111165670440.

Find LCM of 457,855,106,366,792 with Prime Factorization

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

2 x 3 x 3 x 457 x 95 x 53 x 61 x 44 = 111165670440

Therefore, the lowest common multiple of 457,855,106,366,792 is 111165670440.

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.

457 x 855 x 106 x 366 x 792 = 12005892407520

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.

457 : 1, 457

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

106 : 1, 2, 53, 106

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

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 457,855,106,366,792, is 1.

Now, the common factors can be found like this.

457:457

855:3x 3x 5x 19

106:2x 53

366:2x 3x 61

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 12005892407520/(1x108)

LCM = 12005892407520/108

LCM = 111165670440

Thus, we can understand that the LCM of 457,855,106,366,792 is 111165670440.

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

• LCM of 349, 225, 580, 400, 118
• LCM of 875, 206, 394, 701, 940
• LCM of 190, 341, 912, 938, 456
• LCM of 129, 932, 203, 451, 478
• LCM of 412, 657, 970, 783, 912

1. What is the LCM of 457, 855, 106, 366, 792?

Answer: LCM of 457, 855, 106, 366, 792 is 111165670440.

2. How to calculate the LCM of 457, 855, 106, 366, 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 457, 855, 106, 366, 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}.