Given numbers are 338,370,772,638,800

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

The LCM of 338,370,772,638,800 is 307982760800.

Find LCM of 338,370,772,638,800 with Prime Factorization

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

2 x 2 x 5 x 169 x 37 x 193 x 319 x 40 = 307982760800

Therefore, the lowest common multiple of 338,370,772,638,800 is 307982760800.

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 370 x 772 x 638 x 800 = 49277241728000

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

370 : 1, 2, 5, 10, 37, 74, 185, 370

772 : 1, 2, 4, 193, 386, 772

638 : 1, 2, 11, 22, 29, 58, 319, 638

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,370,772,638,800, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

370:2x 5x 37

772:2x 2x 193

638:2x 11x 29

800:2x 2x 2x 2x 2x 5x 5

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 5 = 80

Therefore, the value for common factors is 80.

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 = 49277241728000/(2x80)

LCM = 49277241728000/160

LCM = 307982760800

Thus, we can understand that the LCM of 338,370,772,638,800 is 307982760800.

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

• LCM of 351, 295, 936, 463, 188
• LCM of 329, 488, 953, 129, 554
• LCM of 937, 528, 954, 146, 536
• LCM of 126, 987, 452, 745, 464
• LCM of 559, 743, 955, 485, 688

1. What is the LCM of 338, 370, 772, 638, 800?

Answer: LCM of 338, 370, 772, 638, 800 is 307982760800.

2. How to calculate the LCM of 338, 370, 772, 638, 800?

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, 370, 772, 638, 800.

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}.