Given numbers are 984,676,748,566,166

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

The LCM of 984,676,748,566,166 is 730445701128.

Find LCM of 984,676,748,566,166 with Prime Factorization

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

2 x 2 x 246 x 169 x 187 x 283 x 83 = 730445701128

Therefore, the lowest common multiple of 984,676,748,566,166 is 730445701128.

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.

984 x 676 x 748 x 566 x 166 = 46748524872192

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.

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

566 : 1, 2, 283, 566

166 : 1, 2, 83, 166

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,676,748,566,166, is 2.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

676:2x 2x 13x 13

748:2x 2x 11x 17

566:2x 283

166:2x 83

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 2 = 32

Therefore, the value for common factors is 32.

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 = 46748524872192/(2x32)

LCM = 46748524872192/64

LCM = 730445701128

Thus, we can understand that the LCM of 984,676,748,566,166 is 730445701128.

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

• LCM of 999, 148, 351, 643, 643
• LCM of 479, 422, 148, 398, 760
• LCM of 214, 899, 409, 154, 872
• LCM of 311, 244, 547, 374, 716
• LCM of 650, 643, 875, 664, 253

1. What is the LCM of 984, 676, 748, 566, 166?

Answer: LCM of 984, 676, 748, 566, 166 is 730445701128.

2. How to calculate the LCM of 984, 676, 748, 566, 166?

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 984, 676, 748, 566, 166.

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}.