Given numbers are 338,380,828,452

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

The LCM of 338,380,828,452 is 1502170020.

Find LCM of 338,380,828,452 with Prime Factorization

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

2 x 2 x 169 x 95 x 207 x 113 = 1502170020

Therefore, the lowest common multiple of 338,380,828,452 is 1502170020.

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 380 x 828 x 452 = 48069440640

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

452 : 1, 2, 4, 113, 226, 452

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,380,828,452, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

380:2x 2x 5x 19

828:2x 2x 3x 3x 23

452:2x 2x 113

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 2 = 16

Therefore, the value for common factors is 16.

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 = 48069440640/(2x16)

LCM = 48069440640/32

LCM = 1502170020

Thus, we can understand that the LCM of 338,380,828,452 is 1502170020.

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

• LCM of 825, 944, 499, 395
• LCM of 801, 369, 282, 471
• LCM of 349, 780, 327, 658
• LCM of 163, 493, 626, 221
• LCM of 776, 751, 146, 238

1. What is the LCM of 338, 380, 828, 452?

Answer: LCM of 338, 380, 828, 452 is 1502170020.

2. How to calculate the LCM of 338, 380, 828, 452?

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, 380, 828, 452.

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}.