Given numbers are 75,195,466

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

The LCM of 75,195,466 is 454350.

Find LCM of 75,195,466 with Prime Factorization

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

3 x 5 x 5 x 13 x 466 = 454350

Therefore, the lowest common multiple of 75,195,466 is 454350.

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.

75 x 195 x 466 = 6815250

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.

75 : 1, 3, 5, 15, 25, 75

195 : 1, 3, 5, 13, 15, 39, 65, 195

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 75,195,466, is 1.

Now, the common factors can be found like this.

75:3x 5x 5

195:3x 5x 13

466:2x 233

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 6815250/(1x15)

LCM = 6815250/15

LCM = 454350

Thus, we can understand that the LCM of 75,195,466 is 454350.

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

• LCM of 56, 656, 355
• LCM of 29, 983, 722
• LCM of 12, 401, 720
• LCM of 76, 588, 332
• LCM of 95, 799, 974

1. What is the LCM of 75, 195, 466?

Answer: LCM of 75, 195, 466 is 454350.

2. How to calculate the LCM of 75, 195, 466?

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 75, 195, 466.

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}.