Given numbers are 432,687,914,466

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

The LCM of 432,687,914,466 is 10533952368.

Find LCM of 432,687,914,466 with Prime Factorization

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

2 x 3 x 72 x 229 x 457 x 233 = 10533952368

Therefore, the lowest common multiple of 432,687,914,466 is 10533952368.

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.

432 x 687 x 914 x 466 = 126407428416

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

687 : 1, 3, 229, 687

914 : 1, 2, 457, 914

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,687,914,466, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

687:3x 229

914:2x 457

466:2x 233

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 = 126407428416/(1x12)

LCM = 126407428416/12

LCM = 10533952368

Thus, we can understand that the LCM of 432,687,914,466 is 10533952368.

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

• LCM of 156, 323, 663, 709
• LCM of 929, 148, 923, 159
• LCM of 147, 967, 979, 537
• LCM of 861, 953, 948, 941
• LCM of 782, 716, 575, 838

1. What is the LCM of 432, 687, 914, 466?

Answer: LCM of 432, 687, 914, 466 is 10533952368.

2. How to calculate the LCM of 432, 687, 914, 466?

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 432, 687, 914, 466.

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}.