Given numbers are 413,75,117

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

The LCM of 413,75,117 is 1208025.

Find LCM of 413,75,117 with Prime Factorization

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

3 x 413 x 25 x 39 = 1208025

Therefore, the lowest common multiple of 413,75,117 is 1208025.

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.

413 x 75 x 117 = 3624075

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.

413 : 1, 7, 59, 413

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

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,75,117, is 1.

Now, the common factors can be found like this.

413:7x 59

75:3x 5x 5

117:3x 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.

3 = 3

Therefore, the value for common factors is 3.

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 = 3624075/(1x3)

LCM = 3624075/3

LCM = 1208025

Thus, we can understand that the LCM of 413,75,117 is 1208025.

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

• LCM of 534, 18, 497
• LCM of 113, 86, 423
• LCM of 482, 32, 210
• LCM of 315, 91, 252
• LCM of 526, 65, 364

1. What is the LCM of 413, 75, 117?

Answer: LCM of 413, 75, 117 is 1208025.

2. How to calculate the LCM of 413, 75, 117?

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 413, 75, 117.

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}.