Given numbers are 194,468,416,413

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

The LCM of 194,468,416,413 is 149988384.

Find LCM of 194,468,416,413 with Prime Factorization

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

2 x 2 x 13 x 97 x 9 x 8 x 413 = 149988384

Therefore, the lowest common multiple of 194,468,416,413 is 149988384.

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.

194 x 468 x 416 x 413 = 15598791936

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.

194 : 1, 2, 97, 194

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,468,416,413, is 1.

Now, the common factors can be found like this.

194:2x 97

468:2x 2x 3x 3x 13

416:2x 2x 2x 2x 2x 13

413:7x 59

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 13 = 104

Therefore, the value for common factors is 104.

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 = 15598791936/(1x104)

LCM = 15598791936/104

LCM = 149988384

Thus, we can understand that the LCM of 194,468,416,413 is 149988384.

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

• LCM of 205, 222, 156, 829
• LCM of 867, 101, 675, 254
• LCM of 165, 493, 771, 191
• LCM of 517, 323, 262, 405
• LCM of 951, 794, 427, 640

1. What is the LCM of 194, 468, 416, 413?

Answer: LCM of 194, 468, 416, 413 is 149988384.

2. How to calculate the LCM of 194, 468, 416, 413?

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 194, 468, 416, 413.

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}.