Given numbers are 106,349,104,384,704

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

The LCM of 106,349,104,384,704 is 1015707264.

Find LCM of 106,349,104,384,704 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 53 x 349 x 13 x 6 x 11 = 1015707264

Therefore, the lowest common multiple of 106,349,104,384,704 is 1015707264.

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 349 x 104 x 384 x 704 = 1040084238336

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

349 : 1, 349

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

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,349,104,384,704, is 1.

Now, the common factors can be found like this.

106:2x 53

349:349

104:2x 2x 2x 13

384:2x 2x 2x 2x 2x 2x 2x 3

704:2x 2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2x 2x 2 = 1024

Therefore, the value for common factors is 1024.

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 = 1040084238336/(1x1024)

LCM = 1040084238336/1024

LCM = 1015707264

Thus, we can understand that the LCM of 106,349,104,384,704 is 1015707264.

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

• LCM of 954, 297, 794, 350, 173
• LCM of 153, 644, 791, 115, 908
• LCM of 308, 550, 453, 533, 786
• LCM of 839, 448, 599, 799, 619
• LCM of 757, 628, 343, 381, 570

1. What is the LCM of 106, 349, 104, 384, 704?

Answer: LCM of 106, 349, 104, 384, 704 is 1015707264.

2. How to calculate the LCM of 106, 349, 104, 384, 704?

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, 349, 104, 384, 704.

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}.