Given numbers are 117,579,469,414,414

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

The LCM of 117,579,469,414,414 is 487162494.

Find LCM of 117,579,469,414,414 with Prime Factorization

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

2 x 3 x 3 x 23 x 13 x 193 x 469 x 1 x 1 = 487162494

Therefore, the lowest common multiple of 117,579,469,414,414 is 487162494.

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 579 x 469 x 414 x 414 = 5445502357932

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

579 : 1, 3, 193, 579

469 : 1, 7, 67, 469

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,579,469,414,414, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

579:3x 193

469:7x 67

414:2x 3x 3x 23

414:2x 3x 3x 23

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

2x 3x 3x 3x 3x 3x 23 = 11178

Therefore, the value for common factors is 11178.

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 = 5445502357932/(1x11178)

LCM = 5445502357932/11178

LCM = 487162494

Thus, we can understand that the LCM of 117,579,469,414,414 is 487162494.

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

• LCM of 360, 672, 446, 204, 176
• LCM of 152, 300, 140, 473, 875
• LCM of 432, 596, 999, 812, 779
• LCM of 416, 897, 475, 572, 630
• LCM of 600, 930, 808, 260, 871

1. What is the LCM of 117, 579, 469, 414, 414?

Answer: LCM of 117, 579, 469, 414, 414 is 487162494.

2. How to calculate the LCM of 117, 579, 469, 414, 414?

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, 579, 469, 414, 414.

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}.