Given numbers are 422,585,502,966

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

The LCM of 422,585,502,966 is 9976263570.

Find LCM of 422,585,502,966 with Prime Factorization

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

2 x 3 x 211 x 195 x 251 x 161 = 9976263570

Therefore, the lowest common multiple of 422,585,502,966 is 9976263570.

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.

422 x 585 x 502 x 966 = 119715162840

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.

422 : 1, 2, 211, 422

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

502 : 1, 2, 251, 502

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,585,502,966, is 1.

Now, the common factors can be found like this.

422:2x 211

585:3x 3x 5x 13

502:2x 251

966:2x 3x 7x 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 = 119715162840/(1x12)

LCM = 119715162840/12

LCM = 9976263570

Thus, we can understand that the LCM of 422,585,502,966 is 9976263570.

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

• LCM of 228, 940, 602, 183
• LCM of 362, 522, 823, 760
• LCM of 315, 681, 153, 992
• LCM of 420, 706, 897, 574
• LCM of 556, 725, 460, 819

1. What is the LCM of 422, 585, 502, 966?

Answer: LCM of 422, 585, 502, 966 is 9976263570.

2. How to calculate the LCM of 422, 585, 502, 966?

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 422, 585, 502, 966.

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}.