Given numbers are 728,318,484,338,481

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

The LCM of 728,318,484,338,481 is 6736882152.

Find LCM of 728,318,484,338,481 with Prime Factorization

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

2 x 2 x 13 x 14 x 159 x 121 x 13 x 37 = 6736882152

Therefore, the lowest common multiple of 728,318,484,338,481 is 6736882152.

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.

728 x 318 x 484 x 338 x 481 = 18216529339008

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.

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

318 : 1, 2, 3, 6, 53, 106, 159, 318

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

338 : 1, 2, 13, 26, 169, 338

481 : 1, 13, 37, 481

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,318,484,338,481, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

318:2x 3x 53

484:2x 2x 11x 11

338:2x 13x 13

481:13x 37

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 13x 13 = 2704

Therefore, the value for common factors is 2704.

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 = 18216529339008/(1x2704)

LCM = 18216529339008/2704

LCM = 6736882152

Thus, we can understand that the LCM of 728,318,484,338,481 is 6736882152.

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

• LCM of 376, 621, 274, 960, 200
• LCM of 607, 208, 219, 645, 909
• LCM of 309, 972, 667, 581, 925
• LCM of 323, 401, 731, 567, 939
• LCM of 962, 877, 857, 448, 930

1. What is the LCM of 728, 318, 484, 338, 481?

Answer: LCM of 728, 318, 484, 338, 481 is 6736882152.

2. How to calculate the LCM of 728, 318, 484, 338, 481?

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 728, 318, 484, 338, 481.

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}.