Given numbers are 23,14,204

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

The LCM of 23,14,204 is 32844.

Find LCM of 23,14,204 with Prime Factorization

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

2 x 23 x 7 x 102 = 32844

Therefore, the lowest common multiple of 23,14,204 is 32844.

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.

23 x 14 x 204 = 65688

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.

23 : 1, 23

14 : 1, 2, 7, 14

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 23,14,204, is 1.

Now, the common factors can be found like this.

23:23

14:2x 7

204:2x 2x 3x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 65688/(1x2)

LCM = 65688/2

LCM = 32844

Thus, we can understand that the LCM of 23,14,204 is 32844.

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

• LCM of 51, 59, 138
• LCM of 82, 39, 507
• LCM of 29, 46, 777
• LCM of 47, 50, 802
• LCM of 74, 41, 921

1. What is the LCM of 23, 14, 204?

Answer: LCM of 23, 14, 204 is 32844.

2. How to calculate the LCM of 23, 14, 204?

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 23, 14, 204.

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}.