Given numbers are 138,109,106

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

The LCM of 138,109,106 is 797226.

Find LCM of 138,109,106 with Prime Factorization

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

2 x 69 x 109 x 53 = 797226

Therefore, the lowest common multiple of 138,109,106 is 797226.

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 109 x 106 = 1594452

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

109 : 1, 109

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,109,106, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

109:109

106:2x 53

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 = 1594452/(1x2)

LCM = 1594452/2

LCM = 797226

Thus, we can understand that the LCM of 138,109,106 is 797226.

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

• LCM of 989, 723, 782
• LCM of 703, 977, 234
• LCM of 931, 355, 222
• LCM of 723, 556, 368
• LCM of 140, 581, 311

1. What is the LCM of 138, 109, 106?

Answer: LCM of 138, 109, 106 is 797226.

2. How to calculate the LCM of 138, 109, 106?

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, 109, 106.

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}.