Given numbers are 460,984,114,916,163

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

The LCM of 460,984,114,916,163 is 80254543080.

Find LCM of 460,984,114,916,163 with Prime Factorization

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

2 x 2 x 3 x 115 x 82 x 19 x 229 x 163 = 80254543080

Therefore, the lowest common multiple of 460,984,114,916,163 is 80254543080.

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.

460 x 984 x 114 x 916 x 163 = 7704436135680

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

114 : 1, 2, 3, 6, 19, 38, 57, 114

916 : 1, 2, 4, 229, 458, 916

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,984,114,916,163, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

984:2x 2x 2x 3x 41

114:2x 3x 19

916:2x 2x 229

163:163

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 3 = 96

Therefore, the value for common factors is 96.

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 = 7704436135680/(1x96)

LCM = 7704436135680/96

LCM = 80254543080

Thus, we can understand that the LCM of 460,984,114,916,163 is 80254543080.

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

• LCM of 702, 962, 589, 506, 416
• LCM of 148, 672, 832, 162, 432
• LCM of 400, 350, 815, 979, 327
• LCM of 829, 342, 526, 392, 218
• LCM of 669, 366, 653, 981, 733

1. What is the LCM of 460, 984, 114, 916, 163?

Answer: LCM of 460, 984, 114, 916, 163 is 80254543080.

2. How to calculate the LCM of 460, 984, 114, 916, 163?

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 460, 984, 114, 916, 163.

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}.