Given numbers are 264,492,633,629,548

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

The LCM of 264,492,633,629,548 is 196807412472.

Find LCM of 264,492,633,629,548 with Prime Factorization

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

2 x 2 x 3 x 22 x 41 x 211 x 629 x 137 = 196807412472

Therefore, the lowest common multiple of 264,492,633,629,548 is 196807412472.

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.

264 x 492 x 633 x 629 x 548 = 28340267395968

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

633 : 1, 3, 211, 633

629 : 1, 17, 37, 629

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,492,633,629,548, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

492:2x 2x 3x 41

633:3x 211

629:17x 37

548:2x 2x 137

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 3 = 144

Therefore, the value for common factors is 144.

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 = 28340267395968/(1x144)

LCM = 28340267395968/144

LCM = 196807412472

Thus, we can understand that the LCM of 264,492,633,629,548 is 196807412472.

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

• LCM of 478, 886, 526, 594, 311
• LCM of 715, 895, 510, 481, 891
• LCM of 655, 477, 309, 900, 960
• LCM of 819, 502, 913, 633, 193
• LCM of 112, 559, 239, 646, 117

1. What is the LCM of 264, 492, 633, 629, 548?

Answer: LCM of 264, 492, 633, 629, 548 is 196807412472.

2. How to calculate the LCM of 264, 492, 633, 629, 548?

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 264, 492, 633, 629, 548.

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}.