Given numbers are 338,318,161,268,522

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

The LCM of 338,318,161,268,522 is 100870401996.

Find LCM of 338,318,161,268,522 with Prime Factorization

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

2 x 3 x 169 x 53 x 161 x 134 x 87 = 100870401996

Therefore, the lowest common multiple of 338,318,161,268,522 is 100870401996.

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 318 x 161 x 268 x 522 = 2420889647904

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

318 : 1, 2, 3, 6, 53, 106, 159, 318

161 : 1, 7, 23, 161

268 : 1, 2, 4, 67, 134, 268

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,318,161,268,522, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

318:2x 3x 53

161:7x 23

268:2x 2x 67

522:2x 3x 3x 29

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 3 = 24

Therefore, the value for common factors is 24.

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 = 2420889647904/(1x24)

LCM = 2420889647904/24

LCM = 100870401996

Thus, we can understand that the LCM of 338,318,161,268,522 is 100870401996.

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

• LCM of 652, 820, 551, 311, 449
• LCM of 587, 748, 613, 642, 620
• LCM of 404, 564, 693, 577, 721
• LCM of 426, 474, 710, 721, 466
• LCM of 432, 420, 432, 726, 694

1. What is the LCM of 338, 318, 161, 268, 522?

Answer: LCM of 338, 318, 161, 268, 522 is 100870401996.

2. How to calculate the LCM of 338, 318, 161, 268, 522?

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, 318, 161, 268, 522.

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}.