Given numbers are 24,12,30,566

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

The LCM of 24,12,30,566 is 33960.

Find LCM of 24,12,30,566 with Prime Factorization

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

2 x 2 x 3 x 1 x 2 x 5 x 283 = 33960

Therefore, the lowest common multiple of 24,12,30,566 is 33960.

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.

24 x 12 x 30 x 566 = 4890240

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.

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

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

30 : 1, 2, 3, 5, 6, 10, 15, 30

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 24,12,30,566, is 2.

Now, the common factors can be found like this.

24:2x 2x 2x 3

12:2x 2x 3

30:2x 3x 5

566:2x 283

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 4890240/(2x72)

LCM = 4890240/144

LCM = 33960

Thus, we can understand that the LCM of 24,12,30,566 is 33960.

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

• LCM of 38, 13, 34, 913
• LCM of 32, 20, 47, 124
• LCM of 93, 83, 52, 804
• LCM of 73, 33, 33, 174
• LCM of 48, 86, 35, 195

1. What is the LCM of 24, 12, 30, 566?

Answer: LCM of 24, 12, 30, 566 is 33960.

2. How to calculate the LCM of 24, 12, 30, 566?

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 24, 12, 30, 566.

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}.