Given numbers are 64,25,27,15,489

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

The LCM of 64,25,27,15,489 is 7041600.

Find LCM of 64,25,27,15,489 with Prime Factorization

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

3 x 5 x 64 x 1 x 9 x 5 x 163 = 7041600

Therefore, the lowest common multiple of 64,25,27,15,489 is 7041600.

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.

64 x 25 x 27 x 15 x 489 = 316872000

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.

64 : 1, 2, 4, 8, 16, 32, 64

25 : 1, 5, 25

27 : 1, 3, 9, 27

15 : 1, 3, 5, 15

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 64,25,27,15,489, is 1.

Now, the common factors can be found like this.

64:2x 2x 2x 2x 2x 2

25:5x 5

27:3x 3x 3

15:3x 5

489:3x 163

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

3x 3x 5 = 45

Therefore, the value for common factors is 45.

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 = 316872000/(1x45)

LCM = 316872000/45

LCM = 7041600

Thus, we can understand that the LCM of 64,25,27,15,489 is 7041600.

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

• LCM of 40, 94, 11, 89, 655
• LCM of 82, 71, 92, 24, 275
• LCM of 20, 17, 81, 24, 930
• LCM of 62, 52, 71, 18, 211
• LCM of 36, 40, 53, 56, 450

1. What is the LCM of 64, 25, 27, 15, 489?

Answer: LCM of 64, 25, 27, 15, 489 is 7041600.

2. How to calculate the LCM of 64, 25, 27, 15, 489?

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 64, 25, 27, 15, 489.

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}.