LCM of 497, 227, 187, 209, 227
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 227, 187, 209, 227 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 497, 227, 187, 209, 227. So, keep reading to learn more.
Given numbers are 497,227,187,209,227
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,227,187,209,227 is 400845907.
Find LCM of 497,227,187,209,227 with Prime Factorization
| 11 | 497, 227, 187, 209, 227 |
| 227 | 497, 227, 17, 19, 227 |
| 497, 1, 17, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 227 x 497 x 1 x 17 x 19 x 1 = 400845907
Therefore, the lowest common multiple of 497,227,187,209,227 is 400845907.
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.
497 x 227 x 187 x 209 x 227 = 1000912229779
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.
497 : 1, 7, 71, 497
227 : 1, 227
187 : 1, 11, 17, 187
209 : 1, 11, 19, 209
227 : 1, 227
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,227,187,209,227, is 1.
Now, the common factors can be found like this.
497:7x 71
227:227
187:11x 17
209:11x 19
227:227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 227 = 2497
Therefore, the value for common factors is 2497.
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 = 1000912229779/(1x2497)
LCM = 1000912229779/2497
LCM = 400845907
Thus, we can understand that the LCM of 497,227,187,209,227 is 400845907.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 497, 227, 187, 209, 227
1. What is the LCM of 497, 227, 187, 209, 227?
Answer: LCM of 497, 227, 187, 209, 227 is 400845907.
2. How to calculate the LCM of 497, 227, 187, 209, 227?
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 497, 227, 187, 209, 227.
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}.