Given numbers are 87,36,758

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

The LCM of 87,36,758 is 395676.

Find LCM of 87,36,758 with Prime Factorization

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

2 x 3 x 29 x 6 x 379 = 395676

Therefore, the lowest common multiple of 87,36,758 is 395676.

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 36 x 758 = 2374056

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

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 87,36,758, is 1.

Now, the common factors can be found like this.

87:3x 29

36:2x 2x 3x 3

758:2x 379

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 2374056/(1x6)

LCM = 2374056/6

LCM = 395676

Thus, we can understand that the LCM of 87,36,758 is 395676.

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

• LCM of 61, 29, 354
• LCM of 63, 27, 224
• LCM of 37, 37, 310
• LCM of 87, 43, 105
• LCM of 54, 35, 456

1. What is the LCM of 87, 36, 758?

Answer: LCM of 87, 36, 758 is 395676.

2. How to calculate the LCM of 87, 36, 758?

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, 36, 758.

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}.