Given numbers are 246,976,372,497,414

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

The LCM of 246,976,372,497,414 is 127620987984.

Find LCM of 246,976,372,497,414 with Prime Factorization

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

2 x 2 x 3 x 41 x 244 x 31 x 497 x 69 = 127620987984

Therefore, the lowest common multiple of 246,976,372,497,414 is 127620987984.

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.

246 x 976 x 372 x 497 x 414 = 18377422269696

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.

246 : 1, 2, 3, 6, 41, 82, 123, 246

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

497 : 1, 7, 71, 497

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 246,976,372,497,414, is 1.

Now, the common factors can be found like this.

246:2x 3x 41

976:2x 2x 2x 2x 61

372:2x 2x 3x 31

497:7x 71

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 18377422269696/(1x144)

LCM = 18377422269696/144

LCM = 127620987984

Thus, we can understand that the LCM of 246,976,372,497,414 is 127620987984.

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

• LCM of 686, 306, 573, 217, 431
• LCM of 686, 400, 828, 455, 157
• LCM of 714, 421, 383, 528, 893
• LCM of 779, 973, 551, 619, 363
• LCM of 411, 522, 657, 288, 912

1. What is the LCM of 246, 976, 372, 497, 414?

Answer: LCM of 246, 976, 372, 497, 414 is 127620987984.

2. How to calculate the LCM of 246, 976, 372, 497, 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 246, 976, 372, 497, 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}.