Given numbers are 348,546,522,531,414

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

The LCM of 348,546,522,531,414 is 128920428.

Find LCM of 348,546,522,531,414 with Prime Factorization

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

2 x 3 x 3 x 29 x 2 x 91 x 1 x 59 x 23 = 128920428

Therefore, the lowest common multiple of 348,546,522,531,414 is 128920428.

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.

348 x 546 x 522 x 531 x 414 = 21804054146784

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

531 : 1, 3, 9, 59, 177, 531

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,546,522,531,414, is 3.

Now, the common factors can be found like this.

348:2x 2x 3x 29

546:2x 3x 7x 13

522:2x 3x 3x 29

531:3x 3x 59

414:2x 3x 3x 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 2x 2x 3x 3x 3x 3x 3x 29 = 56376

Therefore, the value for common factors is 56376.

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 = 21804054146784/(3x56376)

LCM = 21804054146784/169128

LCM = 128920428

Thus, we can understand that the LCM of 348,546,522,531,414 is 128920428.

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

• LCM of 423, 333, 502, 155, 222
• LCM of 386, 554, 365, 375, 378
• LCM of 146, 418, 127, 285, 921
• LCM of 169, 994, 629, 468, 203
• LCM of 674, 556, 138, 412, 288

1. What is the LCM of 348, 546, 522, 531, 414?

Answer: LCM of 348, 546, 522, 531, 414 is 128920428.

2. How to calculate the LCM of 348, 546, 522, 531, 414?

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 348, 546, 522, 531, 414.

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}.