Given numbers are 138,23,218

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

The LCM of 138,23,218 is 15042.

Find LCM of 138,23,218 with Prime Factorization

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

2 x 23 x 3 x 1 x 109 = 15042

Therefore, the lowest common multiple of 138,23,218 is 15042.

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.

138 x 23 x 218 = 691932

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

23 : 1, 23

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,23,218, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

23:23

218:2x 109

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 691932/(1x46)

LCM = 691932/46

LCM = 15042

Thus, we can understand that the LCM of 138,23,218 is 15042.

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

• LCM of 979, 90, 983
• LCM of 989, 64, 921
• LCM of 948, 80, 343
• LCM of 682, 83, 605
• LCM of 307, 14, 285

1. What is the LCM of 138, 23, 218?

Answer: LCM of 138, 23, 218 is 15042.

2. How to calculate the LCM of 138, 23, 218?

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 138, 23, 218.

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}.