LCM of 221, 338, 202, 173, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 338, 202, 173, 161 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, 338, 202, 173, 161. So, keep reading to learn more.
Given numbers are 221,338,202,173,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,338,202,173,161 is 16164377138.
Find LCM of 221,338,202,173,161 with Prime Factorization
| 2 | 221, 338, 202, 173, 161 |
| 13 | 221, 169, 101, 173, 161 |
| 17, 13, 101, 173, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 13 x 101 x 173 x 161 = 16164377138
Therefore, the lowest common multiple of 221,338,202,173,161 is 16164377138.
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 338 x 202 x 173 x 161 = 420273805588
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
338 : 1, 2, 13, 26, 169, 338
202 : 1, 2, 101, 202
173 : 1, 173
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,338,202,173,161, is 1.
Now, the common factors can be found like this.
221:13x 17
338:2x 13x 13
202:2x 101
173:173
161:7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 420273805588/(1x26)
LCM = 420273805588/26
LCM = 16164377138
Thus, we can understand that the LCM of 221,338,202,173,161 is 16164377138.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 338, 202, 173, 161
1. What is the LCM of 221, 338, 202, 173, 161?
Answer: LCM of 221, 338, 202, 173, 161 is 16164377138.
2. How to calculate the LCM of 221, 338, 202, 173, 161?
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, 338, 202, 173, 161.
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}.