Given numbers are 209,69,309

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

The LCM of 209,69,309 is 1485363.

Find LCM of 209,69,309 with Prime Factorization

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

3 x 209 x 23 x 103 = 1485363

Therefore, the lowest common multiple of 209,69,309 is 1485363.

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.

209 x 69 x 309 = 4456089

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.

209 : 1, 11, 19, 209

69 : 1, 3, 23, 69

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,69,309, is 1.

Now, the common factors can be found like this.

209:11x 19

69:3x 23

309:3x 103

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

3 = 3

Therefore, the value for common factors is 3.

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 = 4456089/(1x3)

LCM = 4456089/3

LCM = 1485363

Thus, we can understand that the LCM of 209,69,309 is 1485363.

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

• LCM of 228, 54, 105
• LCM of 336, 96, 872
• LCM of 889, 81, 681
• LCM of 700, 61, 813
• LCM of 654, 11, 598

1. What is the LCM of 209, 69, 309?

Answer: LCM of 209, 69, 309 is 1485363.

2. How to calculate the LCM of 209, 69, 309?

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 209, 69, 309.

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}.