LCM of 169, 308, 612, 320, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 308, 612, 320, 221 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 169, 308, 612, 320, 221. So, keep reading to learn more.
Given numbers are 169,308,612,320,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,308,612,320,221 is 637116480.
Find LCM of 169,308,612,320,221 with Prime Factorization
| 2 | 169, 308, 612, 320, 221 |
| 2 | 169, 154, 306, 160, 221 |
| 13 | 169, 77, 153, 80, 221 |
| 17 | 13, 77, 153, 80, 17 |
| 13, 77, 9, 80, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 13 x 77 x 9 x 80 x 1 = 637116480
Therefore, the lowest common multiple of 169,308,612,320,221 is 637116480.
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.
169 x 308 x 612 x 320 x 221 = 2252843873280
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.
169 : 1, 13, 169
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,308,612,320,221, is 1.
Now, the common factors can be found like this.
169:13x 13
308:2x 2x 7x 11
612:2x 2x 3x 3x 17
320:2x 2x 2x 2x 2x 2x 5
221:13x 17
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 2x 2x 13x 17 = 3536
Therefore, the value for common factors is 3536.
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 = 2252843873280/(1x3536)
LCM = 2252843873280/3536
LCM = 637116480
Thus, we can understand that the LCM of 169,308,612,320,221 is 637116480.
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FAQs on LCM of 169, 308, 612, 320, 221
1. What is the LCM of 169, 308, 612, 320, 221?
Answer: LCM of 169, 308, 612, 320, 221 is 637116480.
2. How to calculate the LCM of 169, 308, 612, 320, 221?
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 169, 308, 612, 320, 221.
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}.