Given numbers are 338,329,720,412

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

The LCM of 338,329,720,412 is 4123370160.

Find LCM of 338,329,720,412 with Prime Factorization

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

2 x 2 x 169 x 329 x 180 x 103 = 4123370160

Therefore, the lowest common multiple of 338,329,720,412 is 4123370160.

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 329 x 720 x 412 = 32986961280

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

329 : 1, 7, 47, 329

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,329,720,412, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

329:7x 47

720:2x 2x 2x 2x 3x 3x 5

412:2x 2x 103

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 2 = 8

Therefore, the value for common factors is 8.

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 = 32986961280/(1x8)

LCM = 32986961280/8

LCM = 4123370160

Thus, we can understand that the LCM of 338,329,720,412 is 4123370160.

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

• LCM of 750, 815, 493, 111
• LCM of 101, 285, 335, 374
• LCM of 179, 642, 875, 351
• LCM of 628, 251, 723, 117
• LCM of 877, 108, 140, 210

1. What is the LCM of 338, 329, 720, 412?

Answer: LCM of 338, 329, 720, 412 is 4123370160.

2. How to calculate the LCM of 338, 329, 720, 412?

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, 329, 720, 412.

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}.