Given numbers are 396,464,243,808,744

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

The LCM of 396,464,243,808,744 is 3883291632.

Find LCM of 396,464,243,808,744 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 58 x 27 x 101 x 31 = 3883291632

Therefore, the lowest common multiple of 396,464,243,808,744 is 3883291632.

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.

396 x 464 x 243 x 808 x 744 = 26841311760384

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

243 : 1, 3, 9, 27, 81, 243

808 : 1, 2, 4, 8, 101, 202, 404, 808

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,464,243,808,744, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

464:2x 2x 2x 2x 29

243:3x 3x 3x 3x 3

808:2x 2x 2x 101

744:2x 2x 2x 3x 31

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 3x 3x 3 = 6912

Therefore, the value for common factors is 6912.

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 = 26841311760384/(1x6912)

LCM = 26841311760384/6912

LCM = 3883291632

Thus, we can understand that the LCM of 396,464,243,808,744 is 3883291632.

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

• LCM of 262, 308, 280, 405, 524
• LCM of 799, 890, 105, 378, 477
• LCM of 126, 175, 461, 500, 546
• LCM of 445, 637, 482, 751, 391
• LCM of 340, 419, 512, 704, 406

1. What is the LCM of 396, 464, 243, 808, 744?

Answer: LCM of 396, 464, 243, 808, 744 is 3883291632.

2. How to calculate the LCM of 396, 464, 243, 808, 744?

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 396, 464, 243, 808, 744.

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}.