LCM of 591, 214, 108, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 214, 108, 209 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 591, 214, 108, 209. So, keep reading to learn more.
Given numbers are 591,214,108,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,214,108,209 is 475795188.
Find LCM of 591,214,108,209 with Prime Factorization
| 2 | 591, 214, 108, 209 |
| 3 | 591, 107, 54, 209 |
| 197, 107, 18, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 107 x 18 x 209 = 475795188
Therefore, the lowest common multiple of 591,214,108,209 is 475795188.
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.
591 x 214 x 108 x 209 = 2854771128
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.
591 : 1, 3, 197, 591
214 : 1, 2, 107, 214
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,214,108,209, is 1.
Now, the common factors can be found like this.
591:3x 197
214:2x 107
108:2x 2x 3x 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.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 2854771128/(1x6)
LCM = 2854771128/6
LCM = 475795188
Thus, we can understand that the LCM of 591,214,108,209 is 475795188.
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FAQs on LCM of 591, 214, 108, 209
1. What is the LCM of 591, 214, 108, 209?
Answer: LCM of 591, 214, 108, 209 is 475795188.
2. How to calculate the LCM of 591, 214, 108, 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 591, 214, 108, 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}.