Given numbers are 32,32,76,32,487

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

The LCM of 32,32,76,32,487 is 296096.

Find LCM of 32,32,76,32,487 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 1 x 1 x 19 x 1 x 487 = 296096

Therefore, the lowest common multiple of 32,32,76,32,487 is 296096.

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.

32 x 32 x 76 x 32 x 487 = 1212809216

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.

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

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

76 : 1, 2, 4, 19, 38, 76

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

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 32,32,76,32,487, is 1.

Now, the common factors can be found like this.

32:2x 2x 2x 2x 2

32:2x 2x 2x 2x 2

76:2x 2x 19

32:2x 2x 2x 2x 2

487:487

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 2x 2x 2x 2x 2x 2x 2x 2 = 4096

Therefore, the value for common factors is 4096.

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 = 1212809216/(1x4096)

LCM = 1212809216/4096

LCM = 296096

Thus, we can understand that the LCM of 32,32,76,32,487 is 296096.

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

• LCM of 88, 43, 52, 95, 806
• LCM of 39, 56, 10, 18, 239
• LCM of 82, 96, 60, 82, 993
• LCM of 81, 47, 17, 50, 282
• LCM of 36, 56, 27, 82, 383

1. What is the LCM of 32, 32, 76, 32, 487?

Answer: LCM of 32, 32, 76, 32, 487 is 296096.

2. How to calculate the LCM of 32, 32, 76, 32, 487?

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 32, 32, 76, 32, 487.

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}.