Given numbers are 336,528,422,272,414

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

The LCM of 336,528,422,272,414 is 914771088.

Find LCM of 336,528,422,272,414 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 11 x 211 x 17 x 69 = 914771088

Therefore, the lowest common multiple of 336,528,422,272,414 is 914771088.

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.

336 x 528 x 422 x 272 x 414 = 8430530347008

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

422 : 1, 2, 211, 422

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,528,422,272,414, is 2.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

528:2x 2x 2x 2x 3x 11

422:2x 211

272:2x 2x 2x 2x 17

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 2x 2x 2x 2x 2x 2x 3x 3 = 4608

Therefore, the value for common factors is 4608.

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 = 8430530347008/(2x4608)

LCM = 8430530347008/9216

LCM = 914771088

Thus, we can understand that the LCM of 336,528,422,272,414 is 914771088.

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

• LCM of 410, 982, 602, 798, 307
• LCM of 584, 250, 433, 881, 588
• LCM of 757, 373, 804, 961, 406
• LCM of 261, 855, 343, 406, 587
• LCM of 300, 720, 914, 732, 517

1. What is the LCM of 336, 528, 422, 272, 414?

Answer: LCM of 336, 528, 422, 272, 414 is 914771088.

2. How to calculate the LCM of 336, 528, 422, 272, 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 336, 528, 422, 272, 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}.