Given numbers are 32,55,87,84,478

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

The LCM of 32,55,87,84,478 is 256169760.

Find LCM of 32,55,87,84,478 with Prime Factorization

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

2 x 2 x 3 x 8 x 55 x 29 x 7 x 239 = 256169760

Therefore, the lowest common multiple of 32,55,87,84,478 is 256169760.

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 55 x 87 x 84 x 478 = 6148074240

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

55 : 1, 5, 11, 55

87 : 1, 3, 29, 87

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 32,55,87,84,478, is 1.

Now, the common factors can be found like this.

32:2x 2x 2x 2x 2

55:5x 11

87:3x 29

84:2x 2x 3x 7

478:2x 239

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 3 = 24

Therefore, the value for common factors is 24.

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 = 6148074240/(1x24)

LCM = 6148074240/24

LCM = 256169760

Thus, we can understand that the LCM of 32,55,87,84,478 is 256169760.

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

• LCM of 72, 87, 28, 60, 320
• LCM of 16, 76, 20, 97, 465
• LCM of 26, 48, 30, 34, 307
• LCM of 92, 82, 16, 83, 434
• LCM of 65, 65, 25, 83, 252

1. What is the LCM of 32, 55, 87, 84, 478?

Answer: LCM of 32, 55, 87, 84, 478 is 256169760.

2. How to calculate the LCM of 32, 55, 87, 84, 478?

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, 55, 87, 84, 478.

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}.