Find the LCM of 209, 441, 585, 210, 588 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 209, 441, 585, 210, 588. So, keep reading to learn more.
Given numbers are 209,441,585,210,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,441,585,210,588 is 23963940.
Find LCM of 209,441,585,210,588 with Prime Factorization
2 | 209, 441, 585, 210, 588 |
3 | 209, 441, 585, 105, 294 |
3 | 209, 147, 195, 35, 98 |
5 | 209, 49, 65, 35, 98 |
7 | 209, 49, 13, 7, 98 |
7 | 209, 1, 13, 7, 14 |
209, 1, 13, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 7 x 209 x 1 x 13 x 1 x 2 = 23963940
Therefore, the lowest common multiple of 209,441,585,210,588 is 23963940.
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 441 x 585 x 210 x 588 = 6657901450200
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
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,441,585,210,588, is 1.
Now, the common factors can be found like this.
209:11x 19
441:3x 3x 7x 7
585:3x 3x 5x 13
210:2x 3x 5x 7
588:2x 2x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5x 7x 7x 7 = 277830
Therefore, the value for common factors is 277830.
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 = 6657901450200/(1x277830)
LCM = 6657901450200/277830
LCM = 23963940
Thus, we can understand that the LCM of 209,441,585,210,588 is 23963940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 209, 441, 585, 210, 588?
Answer: LCM of 209, 441, 585, 210, 588 is 23963940.
2. How to calculate the LCM of 209, 441, 585, 210, 588?
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, 441, 585, 210, 588.
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}.