Given numbers are 243,966,792,311,753

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

The LCM of 243,966,792,311,753 is 268750284264.

Find LCM of 243,966,792,311,753 with Prime Factorization

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

2 x 3 x 3 x 27 x 161 x 44 x 311 x 251 = 268750284264

Therefore, the lowest common multiple of 243,966,792,311,753 is 268750284264.

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 966 x 792 x 311 x 753 = 43537546050768

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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

311 : 1, 311

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,966,792,311,753, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

966:2x 3x 7x 23

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

311:311

753:3x 251

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 43537546050768/(1x162)

LCM = 43537546050768/162

LCM = 268750284264

Thus, we can understand that the LCM of 243,966,792,311,753 is 268750284264.

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

• LCM of 225, 333, 673, 625, 718
• LCM of 502, 380, 407, 968, 690
• LCM of 921, 148, 835, 760, 363
• LCM of 477, 859, 933, 240, 638
• LCM of 959, 453, 822, 134, 321

1. What is the LCM of 243, 966, 792, 311, 753?

Answer: LCM of 243, 966, 792, 311, 753 is 268750284264.

2. How to calculate the LCM of 243, 966, 792, 311, 753?

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, 966, 792, 311, 753.

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}.