Given numbers are 12,39,12,464

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

The LCM of 12,39,12,464 is 18096.

Find LCM of 12,39,12,464 with Prime Factorization

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

2 x 2 x 3 x 1 x 13 x 1 x 116 = 18096

Therefore, the lowest common multiple of 12,39,12,464 is 18096.

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.

12 x 39 x 12 x 464 = 2605824

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.

12 : 1, 2, 3, 4, 6, 12

39 : 1, 3, 13, 39

12 : 1, 2, 3, 4, 6, 12

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 12,39,12,464, is 1.

Now, the common factors can be found like this.

12:2x 2x 3

39:3x 13

12:2x 2x 3

464:2x 2x 2x 2x 29

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 2605824/(1x144)

LCM = 2605824/144

LCM = 18096

Thus, we can understand that the LCM of 12,39,12,464 is 18096.

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

• LCM of 54, 85, 84, 426
• LCM of 61, 64, 25, 567
• LCM of 72, 28, 84, 237
• LCM of 40, 39, 97, 893
• LCM of 80, 73, 40, 604

1. What is the LCM of 12, 39, 12, 464?

Answer: LCM of 12, 39, 12, 464 is 18096.

2. How to calculate the LCM of 12, 39, 12, 464?

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 12, 39, 12, 464.

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}.