Given numbers are 396,493,466

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

The LCM of 396,493,466 is 45488124.

Find LCM of 396,493,466 with Prime Factorization

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

2 x 198 x 493 x 233 = 45488124

Therefore, the lowest common multiple of 396,493,466 is 45488124.

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.

396 x 493 x 466 = 90976248

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

493 : 1, 17, 29, 493

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,493,466, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

493:17x 29

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 90976248/(1x2)

LCM = 90976248/2

LCM = 45488124

Thus, we can understand that the LCM of 396,493,466 is 45488124.

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

• LCM of 998, 385, 730
• LCM of 261, 931, 276
• LCM of 995, 936, 259
• LCM of 153, 167, 748
• LCM of 651, 806, 719

1. What is the LCM of 396, 493, 466?

Answer: LCM of 396, 493, 466 is 45488124.

2. How to calculate the LCM of 396, 493, 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 396, 493, 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}.