LCM of 221, 398, 612, 166
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 398, 612, 166 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, 398, 612, 166. So, keep reading to learn more.
Given numbers are 221,398,612,166
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,398,612,166 is 131409252.
Find LCM of 221,398,612,166 with Prime Factorization
| 2 | 221, 398, 612, 166 |
| 17 | 221, 199, 306, 83 |
| 13, 199, 18, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 13 x 199 x 18 x 83 = 131409252
Therefore, the lowest common multiple of 221,398,612,166 is 131409252.
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 398 x 612 x 166 = 8935829136
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
398 : 1, 2, 199, 398
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
166 : 1, 2, 83, 166
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,398,612,166, is 1.
Now, the common factors can be found like this.
221:13x 17
398:2x 199
612:2x 2x 3x 3x 17
166:2x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 17 = 68
Therefore, the value for common factors is 68.
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 = 8935829136/(1x68)
LCM = 8935829136/68
LCM = 131409252
Thus, we can understand that the LCM of 221,398,612,166 is 131409252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 398, 612, 166
1. What is the LCM of 221, 398, 612, 166?
Answer: LCM of 221, 398, 612, 166 is 131409252.
2. How to calculate the LCM of 221, 398, 612, 166?
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, 398, 612, 166.
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}.