Given numbers are 243,437,728,330,834

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

The LCM of 243,437,728,330,834 is 591012381960.

Find LCM of 243,437,728,330,834 with Prime Factorization

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

2 x 3 x 81 x 437 x 364 x 55 x 139 = 591012381960

Therefore, the lowest common multiple of 243,437,728,330,834 is 591012381960.

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.

243 x 437 x 728 x 330 x 834 = 21276445750560

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.

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

437 : 1, 19, 23, 437

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

834 : 1, 2, 3, 6, 139, 278, 417, 834

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,437,728,330,834, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

437:19x 23

728:2x 2x 2x 7x 13

330:2x 3x 5x 11

834:2x 3x 139

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 = 21276445750560/(1x36)

LCM = 21276445750560/36

LCM = 591012381960

Thus, we can understand that the LCM of 243,437,728,330,834 is 591012381960.

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

• LCM of 575, 577, 276, 265, 966
• LCM of 793, 890, 438, 578, 518
• LCM of 831, 239, 773, 984, 844
• LCM of 350, 485, 963, 259, 520
• LCM of 829, 368, 313, 109, 861

1. What is the LCM of 243, 437, 728, 330, 834?

Answer: LCM of 243, 437, 728, 330, 834 is 591012381960.

2. How to calculate the LCM of 243, 437, 728, 330, 834?

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 243, 437, 728, 330, 834.

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}.