Given numbers are 915,87,305

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

The LCM of 915,87,305 is 26535.

Find LCM of 915,87,305 with Prime Factorization

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

3 x 5 x 61 x 1 x 29 x 1 = 26535

Therefore, the lowest common multiple of 915,87,305 is 26535.

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.

915 x 87 x 305 = 24279525

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.

915 : 1, 3, 5, 15, 61, 183, 305, 915

87 : 1, 3, 29, 87

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,87,305, is 1.

Now, the common factors can be found like this.

915:3x 5x 61

87:3x 29

305:5x 61

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

3x 5x 61 = 915

Therefore, the value for common factors is 915.

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 = 24279525/(1x915)

LCM = 24279525/915

LCM = 26535

Thus, we can understand that the LCM of 915,87,305 is 26535.

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

• LCM of 792, 75, 827
• LCM of 961, 99, 122
• LCM of 977, 49, 556
• LCM of 344, 15, 156
• LCM of 111, 11, 625

1. What is the LCM of 915, 87, 305?

Answer: LCM of 915, 87, 305 is 26535.

2. How to calculate the LCM of 915, 87, 305?

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 915, 87, 305.

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}.