Given numbers are 423,24,519

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

The LCM of 423,24,519 is 585432.

Find LCM of 423,24,519 with Prime Factorization

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

3 x 141 x 8 x 173 = 585432

Therefore, the lowest common multiple of 423,24,519 is 585432.

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.

423 x 24 x 519 = 5268888

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.

423 : 1, 3, 9, 47, 141, 423

24 : 1, 2, 3, 4, 6, 8, 12, 24

519 : 1, 3, 173, 519

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,24,519, is 3.

Now, the common factors can be found like this.

423:3x 3x 47

24:2x 2x 2x 3

519:3x 173

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 5268888/(3x3)

LCM = 5268888/9

LCM = 585432

Thus, we can understand that the LCM of 423,24,519 is 585432.

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

• LCM of 319, 88, 574
• LCM of 945, 92, 300
• LCM of 264, 69, 130
• LCM of 211, 20, 668
• LCM of 550, 13, 412

1. What is the LCM of 423, 24, 519?

Answer: LCM of 423, 24, 519 is 585432.

2. How to calculate the LCM of 423, 24, 519?

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 423, 24, 519.

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}.