Given numbers are 965,85,493

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

The LCM of 965,85,493 is 475745.

Find LCM of 965,85,493 with Prime Factorization

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

5 x 17 x 193 x 1 x 29 = 475745

Therefore, the lowest common multiple of 965,85,493 is 475745.

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.

965 x 85 x 493 = 40438325

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.

965 : 1, 5, 193, 965

85 : 1, 5, 17, 85

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,85,493, is 1.

Now, the common factors can be found like this.

965:5x 193

85:5x 17

493:17x 29

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

5x 17 = 85

Therefore, the value for common factors is 85.

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 = 40438325/(1x85)

LCM = 40438325/85

LCM = 475745

Thus, we can understand that the LCM of 965,85,493 is 475745.

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

• LCM of 106, 86, 200
• LCM of 121, 60, 475
• LCM of 575, 43, 951
• LCM of 824, 82, 244
• LCM of 982, 45, 329

1. What is the LCM of 965, 85, 493?

Answer: LCM of 965, 85, 493 is 475745.

2. How to calculate the LCM of 965, 85, 493?

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 965, 85, 493.

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}.