Given numbers are 522,168,171,684,478

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

The LCM of 522,168,171,684,478 is 66371256.

Find LCM of 522,168,171,684,478 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 29 x 14 x 1 x 1 x 239 = 66371256

Therefore, the lowest common multiple of 522,168,171,684,478 is 66371256.

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.

522 x 168 x 171 x 684 x 478 = 4902977423232

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

171 : 1, 3, 9, 19, 57, 171

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,168,171,684,478, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

168:2x 2x 2x 3x 7

171:3x 3x 19

684:2x 2x 3x 3x 19

478:2x 239

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

2x 2x 2x 2x 3x 3x 3x 3x 3x 19 = 73872

Therefore, the value for common factors is 73872.

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 = 4902977423232/(1x73872)

LCM = 4902977423232/73872

LCM = 66371256

Thus, we can understand that the LCM of 522,168,171,684,478 is 66371256.

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

• LCM of 646, 474, 312, 604, 575
• LCM of 422, 360, 373, 763, 475
• LCM of 918, 276, 150, 285, 820
• LCM of 148, 658, 881, 397, 189
• LCM of 147, 142, 610, 734, 762

1. What is the LCM of 522, 168, 171, 684, 478?

Answer: LCM of 522, 168, 171, 684, 478 is 66371256.

2. How to calculate the LCM of 522, 168, 171, 684, 478?

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 522, 168, 171, 684, 478.

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}.