Given numbers are 361,331,328,363,414

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

The LCM of 361,331,328,363,414 is 981668273256.

Find LCM of 361,331,328,363,414 with Prime Factorization

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

2 x 3 x 361 x 331 x 164 x 121 x 69 = 981668273256

Therefore, the lowest common multiple of 361,331,328,363,414 is 981668273256.

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.

361 x 331 x 328 x 363 x 414 = 5890009639536

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.

361 : 1, 19, 361

331 : 1, 331

328 : 1, 2, 4, 8, 41, 82, 164, 328

363 : 1, 3, 11, 33, 121, 363

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,331,328,363,414, is 1.

Now, the common factors can be found like this.

361:19x 19

331:331

328:2x 2x 2x 41

363:3x 11x 11

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 3 = 6

Therefore, the value for common factors is 6.

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 = 5890009639536/(1x6)

LCM = 5890009639536/6

LCM = 981668273256

Thus, we can understand that the LCM of 361,331,328,363,414 is 981668273256.

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

• LCM of 607, 678, 958, 140, 885
• LCM of 341, 658, 817, 472, 915
• LCM of 637, 178, 593, 827, 599
• LCM of 423, 291, 215, 786, 105
• LCM of 867, 969, 310, 113, 827

1. What is the LCM of 361, 331, 328, 363, 414?

Answer: LCM of 361, 331, 328, 363, 414 is 981668273256.

2. How to calculate the LCM of 361, 331, 328, 363, 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 361, 331, 328, 363, 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}.