Given numbers are 403,408,466

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

The LCM of 403,408,466 is 38310792.

Find LCM of 403,408,466 with Prime Factorization

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

2 x 403 x 204 x 233 = 38310792

Therefore, the lowest common multiple of 403,408,466 is 38310792.

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.

403 x 408 x 466 = 76621584

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.

403 : 1, 13, 31, 403

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,408,466, is 1.

Now, the common factors can be found like this.

403:13x 31

408:2x 2x 2x 3x 17

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 = 76621584/(1x2)

LCM = 76621584/2

LCM = 38310792

Thus, we can understand that the LCM of 403,408,466 is 38310792.

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

• LCM of 628, 443, 704
• LCM of 531, 789, 830
• LCM of 149, 895, 286
• LCM of 972, 984, 751
• LCM of 519, 590, 928

1. What is the LCM of 403, 408, 466?

Answer: LCM of 403, 408, 466 is 38310792.

2. How to calculate the LCM of 403, 408, 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 403, 408, 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}.