Given numbers are 39,87,11,312

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

The LCM of 39,87,11,312 is 99528.

Find LCM of 39,87,11,312 with Prime Factorization

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

3 x 13 x 1 x 29 x 11 x 8 = 99528

Therefore, the lowest common multiple of 39,87,11,312 is 99528.

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.

39 x 87 x 11 x 312 = 11644776

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.

39 : 1, 3, 13, 39

87 : 1, 3, 29, 87

11 : 1, 11

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 39,87,11,312, is 1.

Now, the common factors can be found like this.

39:3x 13

87:3x 29

11:11

312:2x 2x 2x 3x 13

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 13 = 117

Therefore, the value for common factors is 117.

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 = 11644776/(1x117)

LCM = 11644776/117

LCM = 99528

Thus, we can understand that the LCM of 39,87,11,312 is 99528.

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

• LCM of 55, 77, 51, 418
• LCM of 53, 99, 80, 850
• LCM of 37, 81, 49, 324
• LCM of 25, 13, 37, 340
• LCM of 97, 39, 75, 935

1. What is the LCM of 39, 87, 11, 312?

Answer: LCM of 39, 87, 11, 312 is 99528.

2. How to calculate the LCM of 39, 87, 11, 312?

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 39, 87, 11, 312.

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}.