Given numbers are 814,112,104,793

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

The LCM of 814,112,104,793 is 36148112.

Find LCM of 814,112,104,793 with Prime Factorization

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

2 x 2 x 2 x 13 x 407 x 14 x 1 x 61 = 36148112

Therefore, the lowest common multiple of 814,112,104,793 is 36148112.

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.

814 x 112 x 104 x 793 = 7518807296

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

104 : 1, 2, 4, 8, 13, 26, 52, 104

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,112,104,793, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

112:2x 2x 2x 2x 7

104:2x 2x 2x 13

793:13x 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 13 = 208

Therefore, the value for common factors is 208.

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 = 7518807296/(1x208)

LCM = 7518807296/208

LCM = 36148112

Thus, we can understand that the LCM of 814,112,104,793 is 36148112.

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

• LCM of 464, 180, 301, 221
• LCM of 797, 343, 910, 924
• LCM of 367, 812, 640, 183
• LCM of 374, 528, 405, 859
• LCM of 149, 108, 802, 608

1. What is the LCM of 814, 112, 104, 793?

Answer: LCM of 814, 112, 104, 793 is 36148112.

2. How to calculate the LCM of 814, 112, 104, 793?

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 814, 112, 104, 793.

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}.