Given numbers are 338,289,215,840

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

The LCM of 338,289,215,840 is 1764136920.

Find LCM of 338,289,215,840 with Prime Factorization

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

2 x 5 x 169 x 289 x 43 x 84 = 1764136920

Therefore, the lowest common multiple of 338,289,215,840 is 1764136920.

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 289 x 215 x 840 = 17641369200

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

289 : 1, 17, 289

215 : 1, 5, 43, 215

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,289,215,840, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

289:17x 17

215:5x 43

840:2x 2x 2x 3x 5x 7

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 17641369200/(1x10)

LCM = 17641369200/10

LCM = 1764136920

Thus, we can understand that the LCM of 338,289,215,840 is 1764136920.

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

• LCM of 732, 214, 204, 308
• LCM of 635, 499, 661, 151
• LCM of 997, 284, 584, 339
• LCM of 884, 664, 800, 444
• LCM of 540, 522, 489, 865

1. What is the LCM of 338, 289, 215, 840?

Answer: LCM of 338, 289, 215, 840 is 1764136920.

2. How to calculate the LCM of 338, 289, 215, 840?

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, 289, 215, 840.

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}.