Given numbers are 117,219,170,417

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

The LCM of 117,219,170,417 is 201823830.

Find LCM of 117,219,170,417 with Prime Factorization

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

3 x 39 x 73 x 170 x 139 = 201823830

Therefore, the lowest common multiple of 117,219,170,417 is 201823830.

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.

117 x 219 x 170 x 417 = 1816414470

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.

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

219 : 1, 3, 73, 219

170 : 1, 2, 5, 10, 17, 34, 85, 170

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,219,170,417, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

219:3x 73

170:2x 5x 17

417:3x 139

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 1816414470/(1x9)

LCM = 1816414470/9

LCM = 201823830

Thus, we can understand that the LCM of 117,219,170,417 is 201823830.

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

• LCM of 146, 148, 374, 954
• LCM of 947, 853, 718, 178
• LCM of 341, 531, 728, 181
• LCM of 159, 300, 207, 275
• LCM of 418, 384, 978, 179

1. What is the LCM of 117, 219, 170, 417?

Answer: LCM of 117, 219, 170, 417 is 201823830.

2. How to calculate the LCM of 117, 219, 170, 417?

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 117, 219, 170, 417.

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}.