Given numbers are 332,108,596,916,728

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

The LCM of 332,108,596,916,728 is 55666637208.

Find LCM of 332,108,596,916,728 with Prime Factorization

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

2 x 2 x 83 x 27 x 149 x 229 x 182 = 55666637208

Therefore, the lowest common multiple of 332,108,596,916,728 is 55666637208.

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.

332 x 108 x 596 x 916 x 728 = 14250659125248

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.

332 : 1, 2, 4, 83, 166, 332

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

596 : 1, 2, 4, 149, 298, 596

916 : 1, 2, 4, 229, 458, 916

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,108,596,916,728, is 4.

Now, the common factors can be found like this.

332:2x 2x 83

108:2x 2x 3x 3x 3

596:2x 2x 149

916:2x 2x 229

728:2x 2x 2x 7x 13

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 2 = 64

Therefore, the value for common factors is 64.

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 = 14250659125248/(4x64)

LCM = 14250659125248/256

LCM = 55666637208

Thus, we can understand that the LCM of 332,108,596,916,728 is 55666637208.

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

• LCM of 551, 234, 894, 243, 846
• LCM of 745, 683, 672, 914, 695
• LCM of 326, 159, 774, 675, 709
• LCM of 230, 575, 382, 617, 925
• LCM of 251, 389, 123, 768, 276

1. What is the LCM of 332, 108, 596, 916, 728?

Answer: LCM of 332, 108, 596, 916, 728 is 55666637208.

2. How to calculate the LCM of 332, 108, 596, 916, 728?

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 332, 108, 596, 916, 728.

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}.