Given numbers are 338,218,238,914

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

The LCM of 338,218,238,914 is 2003578486.

Find LCM of 338,218,238,914 with Prime Factorization

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

2 x 169 x 109 x 119 x 457 = 2003578486

Therefore, the lowest common multiple of 338,218,238,914 is 2003578486.

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 218 x 238 x 914 = 16028627888

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

218 : 1, 2, 109, 218

238 : 1, 2, 7, 14, 17, 34, 119, 238

914 : 1, 2, 457, 914

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,218,238,914, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

218:2x 109

238:2x 7x 17

914:2x 457

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 = 16028627888/(2x4)

LCM = 16028627888/8

LCM = 2003578486

Thus, we can understand that the LCM of 338,218,238,914 is 2003578486.

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

• LCM of 724, 376, 633, 878
• LCM of 912, 289, 431, 634
• LCM of 545, 123, 888, 562
• LCM of 593, 681, 279, 292
• LCM of 758, 436, 854, 813

1. What is the LCM of 338, 218, 238, 914?

Answer: LCM of 338, 218, 238, 914 is 2003578486.

2. How to calculate the LCM of 338, 218, 238, 914?

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, 218, 238, 914.

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}.