Given numbers are 106,600,338,173

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

The LCM of 106,600,338,173 is 929736600.

Find LCM of 106,600,338,173 with Prime Factorization

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

2 x 53 x 300 x 169 x 173 = 929736600

Therefore, the lowest common multiple of 106,600,338,173 is 929736600.

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.

106 x 600 x 338 x 173 = 3718946400

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.

106 : 1, 2, 53, 106

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

338 : 1, 2, 13, 26, 169, 338

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,600,338,173, is 1.

Now, the common factors can be found like this.

106:2x 53

600:2x 2x 2x 3x 5x 5

338:2x 13x 13

173:173

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 = 3718946400/(1x4)

LCM = 3718946400/4

LCM = 929736600

Thus, we can understand that the LCM of 106,600,338,173 is 929736600.

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

• LCM of 824, 279, 963, 502
• LCM of 275, 749, 685, 728
• LCM of 908, 491, 722, 936
• LCM of 212, 300, 502, 249
• LCM of 641, 405, 508, 548

1. What is the LCM of 106, 600, 338, 173?

Answer: LCM of 106, 600, 338, 173 is 929736600.

2. How to calculate the LCM of 106, 600, 338, 173?

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 106, 600, 338, 173.

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}.