Given numbers are 209,576,209

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

The LCM of 209,576,209 is 120384.

Find LCM of 209,576,209 with Prime Factorization

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

11 x 19 x 1 x 576 x 1 = 120384

Therefore, the lowest common multiple of 209,576,209 is 120384.

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 576 x 209 = 25160256

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

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,576,209, is 1.

Now, the common factors can be found like this.

209:11x 19

576:2x 2x 2x 2x 2x 2x 3x 3

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 = 25160256/(1x209)

LCM = 25160256/209

LCM = 120384

Thus, we can understand that the LCM of 209,576,209 is 120384.

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

• LCM of 247, 936, 776
• LCM of 176, 638, 238
• LCM of 432, 981, 182
• LCM of 686, 783, 206
• LCM of 490, 148, 147

1. What is the LCM of 209, 576, 209?

Answer: LCM of 209, 576, 209 is 120384.

2. How to calculate the LCM of 209, 576, 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 209, 576, 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}.