Given numbers are 823,422,242,414

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

The LCM of 823,422,242,414 is 8698973382.

Find LCM of 823,422,242,414 with Prime Factorization

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

2 x 823 x 211 x 121 x 207 = 8698973382

Therefore, the lowest common multiple of 823,422,242,414 is 8698973382.

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.

823 x 422 x 242 x 414 = 34795893528

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.

823 : 1, 823

422 : 1, 2, 211, 422

242 : 1, 2, 11, 22, 121, 242

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,422,242,414, is 1.

Now, the common factors can be found like this.

823:823

422:2x 211

242:2x 11x 11

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 2 = 4

Therefore, the value for common factors is 4.

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 = 34795893528/(1x4)

LCM = 34795893528/4

LCM = 8698973382

Thus, we can understand that the LCM of 823,422,242,414 is 8698973382.

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

• LCM of 404, 672, 973, 954
• LCM of 966, 898, 761, 608
• LCM of 749, 179, 411, 895
• LCM of 250, 491, 802, 729
• LCM of 903, 537, 979, 529

1. What is the LCM of 823, 422, 242, 414?

Answer: LCM of 823, 422, 242, 414 is 8698973382.

2. How to calculate the LCM of 823, 422, 242, 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 823, 422, 242, 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}.