Given numbers are 138,442,704,104,774

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

The LCM of 138,442,704,104,774 is 1384853184.

Find LCM of 138,442,704,104,774 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 23 x 17 x 88 x 1 x 129 = 1384853184

Therefore, the lowest common multiple of 138,442,704,104,774 is 1384853184.

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.

138 x 442 x 704 x 104 x 774 = 3456593547264

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

442 : 1, 2, 13, 17, 26, 34, 221, 442

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

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,442,704,104,774, is 2.

Now, the common factors can be found like this.

138:2x 3x 23

442:2x 13x 17

704:2x 2x 2x 2x 2x 2x 11

104:2x 2x 2x 13

774:2x 3x 3x 43

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 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 3456593547264/(2x1248)

LCM = 3456593547264/2496

LCM = 1384853184

Thus, we can understand that the LCM of 138,442,704,104,774 is 1384853184.

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

• LCM of 601, 802, 626, 363, 834
• LCM of 877, 930, 298, 356, 104
• LCM of 965, 540, 343, 456, 889
• LCM of 875, 431, 154, 136, 756
• LCM of 175, 378, 389, 612, 181

1. What is the LCM of 138, 442, 704, 104, 774?

Answer: LCM of 138, 442, 704, 104, 774 is 1384853184.

2. How to calculate the LCM of 138, 442, 704, 104, 774?

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 138, 442, 704, 104, 774.

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}.