Given numbers are 494,401,948,406,801

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

The LCM of 494,401,948,406,801 is 5089287231756.

Find LCM of 494,401,948,406,801 with Prime Factorization

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

2 x 3 x 247 x 401 x 158 x 203 x 267 = 5089287231756

Therefore, the lowest common multiple of 494,401,948,406,801 is 5089287231756.

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.

494 x 401 x 948 x 406 x 801 = 61071446781072

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

401 : 1, 401

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

801 : 1, 3, 9, 89, 267, 801

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,401,948,406,801, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

401:401

948:2x 2x 3x 79

406:2x 7x 29

801:3x 3x 89

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 3 = 12

Therefore, the value for common factors is 12.

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 = 61071446781072/(1x12)

LCM = 61071446781072/12

LCM = 5089287231756

Thus, we can understand that the LCM of 494,401,948,406,801 is 5089287231756.

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

• LCM of 704, 301, 977, 381, 846
• LCM of 118, 102, 814, 597, 291
• LCM of 856, 421, 584, 611, 823
• LCM of 754, 749, 869, 309, 761
• LCM of 445, 298, 424, 392, 856

1. What is the LCM of 494, 401, 948, 406, 801?

Answer: LCM of 494, 401, 948, 406, 801 is 5089287231756.

2. How to calculate the LCM of 494, 401, 948, 406, 801?

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 494, 401, 948, 406, 801.

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}.