Given numbers are 486,497,388,728,164

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

The LCM of 486,497,388,728,164 is 49951851768.

Find LCM of 486,497,388,728,164 with Prime Factorization

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

2 x 2 x 7 x 243 x 71 x 97 x 26 x 41 = 49951851768

Therefore, the lowest common multiple of 486,497,388,728,164 is 49951851768.

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.

486 x 497 x 388 x 728 x 164 = 11189214796032

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

497 : 1, 7, 71, 497

388 : 1, 2, 4, 97, 194, 388

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,497,388,728,164, is 1.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

497:7x 71

388:2x 2x 97

728:2x 2x 2x 7x 13

164:2x 2x 41

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 2x 7 = 224

Therefore, the value for common factors is 224.

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 = 11189214796032/(1x224)

LCM = 11189214796032/224

LCM = 49951851768

Thus, we can understand that the LCM of 486,497,388,728,164 is 49951851768.

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

• LCM of 777, 476, 434, 834, 402
• LCM of 826, 715, 990, 726, 769
• LCM of 770, 462, 246, 424, 147
• LCM of 321, 780, 189, 951, 172
• LCM of 892, 884, 513, 894, 938

1. What is the LCM of 486, 497, 388, 728, 164?

Answer: LCM of 486, 497, 388, 728, 164 is 49951851768.

2. How to calculate the LCM of 486, 497, 388, 728, 164?

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 486, 497, 388, 728, 164.

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}.