Given numbers are 99,22,22,506

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

The LCM of 99,22,22,506 is 4554.

Find LCM of 99,22,22,506 with Prime Factorization

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

2 x 11 x 9 x 1 x 1 x 23 = 4554

Therefore, the lowest common multiple of 99,22,22,506 is 4554.

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.

99 x 22 x 22 x 506 = 24245496

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.

99 : 1, 3, 9, 11, 33, 99

22 : 1, 2, 11, 22

22 : 1, 2, 11, 22

506 : 1, 2, 11, 22, 23, 46, 253, 506

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 99,22,22,506, is 11.

Now, the common factors can be found like this.

99:3x 3x 11

22:2x 11

22:2x 11

506:2x 11x 23

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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 24245496/(11x484)

LCM = 24245496/5324

LCM = 4554

Thus, we can understand that the LCM of 99,22,22,506 is 4554.

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

• LCM of 17, 27, 66, 676
• LCM of 30, 74, 43, 951
• LCM of 68, 80, 51, 460
• LCM of 99, 21, 20, 637
• LCM of 71, 32, 62, 162

1. What is the LCM of 99, 22, 22, 506?

Answer: LCM of 99, 22, 22, 506 is 4554.

2. How to calculate the LCM of 99, 22, 22, 506?

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 99, 22, 22, 506.

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}.