Given numbers are 306,245,209,209

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

The LCM of 306,245,209,209 is 15668730.

Find LCM of 306,245,209,209 with Prime Factorization

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

11 x 19 x 306 x 245 x 1 x 1 = 15668730

Therefore, the lowest common multiple of 306,245,209,209 is 15668730.

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.

306 x 245 x 209 x 209 = 3274764570

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

245 : 1, 5, 7, 35, 49, 245

209 : 1, 11, 19, 209

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,245,209,209, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

245:5x 7x 7

209:11x 19

209:11x 19

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

11x 19 = 209

Therefore, the value for common factors is 209.

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 = 3274764570/(1x209)

LCM = 3274764570/209

LCM = 15668730

Thus, we can understand that the LCM of 306,245,209,209 is 15668730.

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

• LCM of 279, 447, 114, 116
• LCM of 914, 719, 900, 551
• LCM of 788, 761, 488, 849
• LCM of 750, 991, 694, 323
• LCM of 353, 320, 349, 288

1. What is the LCM of 306, 245, 209, 209?

Answer: LCM of 306, 245, 209, 209 is 15668730.

2. How to calculate the LCM of 306, 245, 209, 209?

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 306, 245, 209, 209.

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}.