Given numbers are 243,228,792,220,409

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

The LCM of 243,228,792,220,409 is 830875320.

Find LCM of 243,228,792,220,409 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 27 x 19 x 2 x 5 x 409 = 830875320

Therefore, the lowest common multiple of 243,228,792,220,409 is 830875320.

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 228 x 792 x 220 x 409 = 3948319520640

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,228,792,220,409, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

228:2x 2x 3x 19

792:2x 2x 2x 3x 3x 11

220:2x 2x 5x 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 2x 2x 3x 3x 3x 11 = 4752

Therefore, the value for common factors is 4752.

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 = 3948319520640/(1x4752)

LCM = 3948319520640/4752

LCM = 830875320

Thus, we can understand that the LCM of 243,228,792,220,409 is 830875320.

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

• LCM of 636, 248, 262, 455, 497
• LCM of 661, 927, 652, 923, 170
• LCM of 439, 948, 811, 651, 843
• LCM of 820, 975, 465, 430, 808
• LCM of 986, 297, 640, 120, 888

1. What is the LCM of 243, 228, 792, 220, 409?

Answer: LCM of 243, 228, 792, 220, 409 is 830875320.

2. How to calculate the LCM of 243, 228, 792, 220, 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 243, 228, 792, 220, 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}.