Given numbers are 814,641,522,464,361

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

The LCM of 814,641,522,464,361 is 393296544432.

Find LCM of 814,641,522,464,361 with Prime Factorization

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

2 x 29 x 407 x 641 x 9 x 8 x 361 = 393296544432

Therefore, the lowest common multiple of 814,641,522,464,361 is 393296544432.

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.

814 x 641 x 522 x 464 x 361 = 45622399154112

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

641 : 1, 641

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,641,522,464,361, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

641:641

522:2x 3x 3x 29

464:2x 2x 2x 2x 29

361:19x 19

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 29 = 116

Therefore, the value for common factors is 116.

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 = 45622399154112/(1x116)

LCM = 45622399154112/116

LCM = 393296544432

Thus, we can understand that the LCM of 814,641,522,464,361 is 393296544432.

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

• LCM of 798, 368, 474, 434, 157
• LCM of 322, 330, 966, 155, 917
• LCM of 994, 459, 787, 942, 849
• LCM of 142, 593, 339, 634, 272
• LCM of 994, 243, 350, 736, 792

1. What is the LCM of 814, 641, 522, 464, 361?

Answer: LCM of 814, 641, 522, 464, 361 is 393296544432.

2. How to calculate the LCM of 814, 641, 522, 464, 361?

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 814, 641, 522, 464, 361.

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}.