LCM of 221, 403, 409, 243, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 403, 409, 243, 775 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 221, 403, 409, 243, 775. So, keep reading to learn more.
Given numbers are 221,403,409,243,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,403,409,243,775 is 17022508425.
Find LCM of 221,403,409,243,775 with Prime Factorization
| 13 | 221, 403, 409, 243, 775 |
| 31 | 17, 31, 409, 243, 775 |
| 17, 1, 409, 243, 25 |
Multiply the prime numbers at the bottom and the left side.
13 x 31 x 17 x 1 x 409 x 243 x 25 = 17022508425
Therefore, the lowest common multiple of 221,403,409,243,775 is 17022508425.
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.
221 x 403 x 409 x 243 x 775 = 6860070895275
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.
221 : 1, 13, 17, 221
403 : 1, 13, 31, 403
409 : 1, 409
243 : 1, 3, 9, 27, 81, 243
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,403,409,243,775, is 1.
Now, the common factors can be found like this.
221:13x 17
403:13x 31
409:409
243:3x 3x 3x 3x 3
775:5x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 31 = 403
Therefore, the value for common factors is 403.
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 = 6860070895275/(1x403)
LCM = 6860070895275/403
LCM = 17022508425
Thus, we can understand that the LCM of 221,403,409,243,775 is 17022508425.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 403, 409, 243, 775
1. What is the LCM of 221, 403, 409, 243, 775?
Answer: LCM of 221, 403, 409, 243, 775 is 17022508425.
2. How to calculate the LCM of 221, 403, 409, 243, 775?
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 221, 403, 409, 243, 775.
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}.