Given numbers are 704,986,366,414

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

The LCM of 704,986,366,414 is 4382478144.

Find LCM of 704,986,366,414 with Prime Factorization

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

2 x 3 x 352 x 493 x 61 x 69 = 4382478144

Therefore, the lowest common multiple of 704,986,366,414 is 4382478144.

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.

704 x 986 x 366 x 414 = 105179475456

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.

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

366 : 1, 2, 3, 6, 61, 122, 183, 366

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,986,366,414, is 2.

Now, the common factors can be found like this.

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

986:2x 17x 29

366:2x 3x 61

414:2x 3x 3x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 105179475456/(2x12)

LCM = 105179475456/24

LCM = 4382478144

Thus, we can understand that the LCM of 704,986,366,414 is 4382478144.

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

• LCM of 385, 613, 462, 839
• LCM of 491, 680, 409, 924
• LCM of 275, 887, 758, 487
• LCM of 420, 594, 808, 372
• LCM of 538, 859, 849, 136

1. What is the LCM of 704, 986, 366, 414?

Answer: LCM of 704, 986, 366, 414 is 4382478144.

2. How to calculate the LCM of 704, 986, 366, 414?

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 704, 986, 366, 414.

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}.