Given numbers are 496,948,831,363,409

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

The LCM of 496,948,831,363,409 is 1611456067056.

Find LCM of 496,948,831,363,409 with Prime Factorization

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

2 x 2 x 3 x 124 x 79 x 277 x 121 x 409 = 1611456067056

Therefore, the lowest common multiple of 496,948,831,363,409 is 1611456067056.

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.

496 x 948 x 831 x 363 x 409 = 58012418414016

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

831 : 1, 3, 277, 831

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

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,948,831,363,409, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

948:2x 2x 3x 79

831:3x 277

363:3x 11x 11

409:409

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 58012418414016/(1x36)

LCM = 58012418414016/36

LCM = 1611456067056

Thus, we can understand that the LCM of 496,948,831,363,409 is 1611456067056.

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

• LCM of 111, 213, 546, 609, 176
• LCM of 870, 353, 267, 422, 391
• LCM of 344, 529, 320, 328, 170
• LCM of 536, 677, 331, 610, 115
• LCM of 871, 750, 733, 511, 962

1. What is the LCM of 496, 948, 831, 363, 409?

Answer: LCM of 496, 948, 831, 363, 409 is 1611456067056.

2. How to calculate the LCM of 496, 948, 831, 363, 409?

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 496, 948, 831, 363, 409.

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}.