Given numbers are 108,179,268,13

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

The LCM of 108,179,268,13 is 16838172.

Find LCM of 108,179,268,13 with Prime Factorization

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

2 x 2 x 27 x 179 x 67 x 13 = 16838172

Therefore, the lowest common multiple of 108,179,268,13 is 16838172.

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.

108 x 179 x 268 x 13 = 67352688

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.

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

179 : 1, 179

268 : 1, 2, 4, 67, 134, 268

13 : 1, 13

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,179,268,13, is 1.

Now, the common factors can be found like this.

108:2x 2x 3x 3x 3

179:179

268:2x 2x 67

13:13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 67352688/(1x4)

LCM = 67352688/4

LCM = 16838172

Thus, we can understand that the LCM of 108,179,268,13 is 16838172.

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

• LCM of 911, 615, 399, 94
• LCM of 303, 960, 178, 46
• LCM of 638, 413, 604, 95
• LCM of 773, 602, 773, 60
• LCM of 824, 200, 417, 21

1. What is the LCM of 108, 179, 268, 13?

Answer: LCM of 108, 179, 268, 13 is 16838172.

2. How to calculate the LCM of 108, 179, 268, 13?

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 108, 179, 268, 13.

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}.