Given numbers are 30,39,24,647

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

The LCM of 30,39,24,647 is 1009320.

Find LCM of 30,39,24,647 with Prime Factorization

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

2 x 3 x 5 x 13 x 4 x 647 = 1009320

Therefore, the lowest common multiple of 30,39,24,647 is 1009320.

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.

30 x 39 x 24 x 647 = 18167760

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.

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

39 : 1, 3, 13, 39

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

647 : 1, 647

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 30,39,24,647, is 1.

Now, the common factors can be found like this.

30:2x 3x 5

39:3x 13

24:2x 2x 2x 3

647:647

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 18167760/(1x18)

LCM = 18167760/18

LCM = 1009320

Thus, we can understand that the LCM of 30,39,24,647 is 1009320.

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

• LCM of 55, 90, 75, 542
• LCM of 28, 38, 75, 523
• LCM of 84, 15, 57, 691
• LCM of 58, 43, 51, 242
• LCM of 72, 57, 41, 213

1. What is the LCM of 30, 39, 24, 647?

Answer: LCM of 30, 39, 24, 647 is 1009320.

2. How to calculate the LCM of 30, 39, 24, 647?

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 30, 39, 24, 647.

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}.