Given numbers are 415,986,990,733,964

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

The LCM of 415,986,990,733,964 is 14312358931860.

Find LCM of 415,986,990,733,964 with Prime Factorization

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

2 x 5 x 83 x 493 x 99 x 733 x 482 = 14312358931860

Therefore, the lowest common multiple of 415,986,990,733,964 is 14312358931860.

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.

415 x 986 x 990 x 733 x 964 = 286247178637200

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.

415 : 1, 5, 83, 415

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

733 : 1, 733

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,986,990,733,964, is 1.

Now, the common factors can be found like this.

415:5x 83

986:2x 17x 29

990:2x 3x 3x 5x 11

733:733

964:2x 2x 241

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 5 = 20

Therefore, the value for common factors is 20.

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 = 286247178637200/(1x20)

LCM = 286247178637200/20

LCM = 14312358931860

Thus, we can understand that the LCM of 415,986,990,733,964 is 14312358931860.

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

• LCM of 589, 179, 987, 213, 949
• LCM of 469, 166, 300, 101, 324
• LCM of 325, 121, 962, 401, 506
• LCM of 374, 477, 892, 279, 313
• LCM of 333, 189, 369, 625, 849

1. What is the LCM of 415, 986, 990, 733, 964?

Answer: LCM of 415, 986, 990, 733, 964 is 14312358931860.

2. How to calculate the LCM of 415, 986, 990, 733, 964?

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 415, 986, 990, 733, 964.

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}.