Given numbers are 106,613,193,864,361

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

The LCM of 106,613,193,864,361 is 1955755667808.

Find LCM of 106,613,193,864,361 with Prime Factorization

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

2 x 53 x 613 x 193 x 432 x 361 = 1955755667808

Therefore, the lowest common multiple of 106,613,193,864,361 is 1955755667808.

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.

106 x 613 x 193 x 864 x 361 = 3911511335616

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.

106 : 1, 2, 53, 106

613 : 1, 613

193 : 1, 193

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,613,193,864,361, is 1.

Now, the common factors can be found like this.

106:2x 53

613:613

193:193

864:2x 2x 2x 2x 2x 3x 3x 3

361:19x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 3911511335616/(1x2)

LCM = 3911511335616/2

LCM = 1955755667808

Thus, we can understand that the LCM of 106,613,193,864,361 is 1955755667808.

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

• LCM of 532, 989, 837, 326, 172
• LCM of 756, 715, 979, 805, 588
• LCM of 370, 831, 822, 604, 778
• LCM of 986, 175, 510, 783, 735
• LCM of 608, 413, 281, 244, 211

1. What is the LCM of 106, 613, 193, 864, 361?

Answer: LCM of 106, 613, 193, 864, 361 is 1955755667808.

2. How to calculate the LCM of 106, 613, 193, 864, 361?

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 106, 613, 193, 864, 361.

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}.