Given numbers are 633,15,264

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

The LCM of 633,15,264 is 278520.

Find LCM of 633,15,264 with Prime Factorization

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

3 x 211 x 5 x 88 = 278520

Therefore, the lowest common multiple of 633,15,264 is 278520.

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.

633 x 15 x 264 = 2506680

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.

633 : 1, 3, 211, 633

15 : 1, 3, 5, 15

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,15,264, is 3.

Now, the common factors can be found like this.

633:3x 211

15:3x 5

264:2x 2x 2x 3x 11

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

3 = 3

Therefore, the value for common factors is 3.

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 = 2506680/(3x3)

LCM = 2506680/9

LCM = 278520

Thus, we can understand that the LCM of 633,15,264 is 278520.

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

• LCM of 854, 81, 673
• LCM of 452, 78, 182
• LCM of 939, 85, 789
• LCM of 654, 85, 756
• LCM of 496, 68, 503

1. What is the LCM of 633, 15, 264?

Answer: LCM of 633, 15, 264 is 278520.

2. How to calculate the LCM of 633, 15, 264?

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 633, 15, 264.

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}.