Given numbers are 338,509,444,874

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

The LCM of 338,509,444,874 is 16690482588.

Find LCM of 338,509,444,874 with Prime Factorization

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

2 x 169 x 509 x 222 x 437 = 16690482588

Therefore, the lowest common multiple of 338,509,444,874 is 16690482588.

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 509 x 444 x 874 = 66761930352

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

509 : 1, 509

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,509,444,874, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

509:509

444:2x 2x 3x 37

874:2x 19x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 66761930352/(1x4)

LCM = 66761930352/4

LCM = 16690482588

Thus, we can understand that the LCM of 338,509,444,874 is 16690482588.

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

• LCM of 219, 321, 544, 413
• LCM of 523, 147, 522, 708
• LCM of 277, 100, 412, 164
• LCM of 131, 704, 531, 143
• LCM of 480, 852, 646, 988

1. What is the LCM of 338, 509, 444, 874?

Answer: LCM of 338, 509, 444, 874 is 16690482588.

2. How to calculate the LCM of 338, 509, 444, 874?

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, 509, 444, 874.

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}.