Given numbers are 87,24,48,766

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

The LCM of 87,24,48,766 is 533136.

Find LCM of 87,24,48,766 with Prime Factorization

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

2 x 2 x 2 x 3 x 29 x 1 x 2 x 383 = 533136

Therefore, the lowest common multiple of 87,24,48,766 is 533136.

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.

87 x 24 x 48 x 766 = 76771584

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.

87 : 1, 3, 29, 87

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

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

766 : 1, 2, 383, 766

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 87,24,48,766, is 1.

Now, the common factors can be found like this.

87:3x 29

24:2x 2x 2x 3

48:2x 2x 2x 2x 3

766:2x 383

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 76771584/(1x144)

LCM = 76771584/144

LCM = 533136

Thus, we can understand that the LCM of 87,24,48,766 is 533136.

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

• LCM of 98, 32, 72, 437
• LCM of 12, 73, 81, 858
• LCM of 81, 84, 94, 575
• LCM of 62, 48, 50, 171
• LCM of 43, 56, 33, 451

1. What is the LCM of 87, 24, 48, 766?

Answer: LCM of 87, 24, 48, 766 is 533136.

2. How to calculate the LCM of 87, 24, 48, 766?

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 87, 24, 48, 766.

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}.