Given numbers are 338,388,264,188,796

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

The LCM of 338,388,264,188,796 is 40477464456.

Find LCM of 338,388,264,188,796 with Prime Factorization

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

2 x 2 x 169 x 97 x 66 x 47 x 199 = 40477464456

Therefore, the lowest common multiple of 338,388,264,188,796 is 40477464456.

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.

338 x 388 x 264 x 188 x 796 = 5181115450368

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.

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

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

188 : 1, 2, 4, 47, 94, 188

796 : 1, 2, 4, 199, 398, 796

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,388,264,188,796, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

388:2x 2x 97

264:2x 2x 2x 3x 11

188:2x 2x 47

796:2x 2x 199

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 = 5181115450368/(2x64)

LCM = 5181115450368/128

LCM = 40477464456

Thus, we can understand that the LCM of 338,388,264,188,796 is 40477464456.

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

• LCM of 644, 984, 795, 972, 245
• LCM of 918, 712, 552, 168, 927
• LCM of 316, 943, 255, 914, 333
• LCM of 728, 724, 658, 926, 923
• LCM of 790, 565, 412, 782, 183

1. What is the LCM of 338, 388, 264, 188, 796?

Answer: LCM of 338, 388, 264, 188, 796 is 40477464456.

2. How to calculate the LCM of 338, 388, 264, 188, 796?

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 338, 388, 264, 188, 796.

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}.