LCM of 169, 996, 415, 960, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 996, 415, 960, 209 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, 996, 415, 960, 209. So, keep reading to learn more.
Given numbers are 169,996,415,960,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,996,415,960,209 is 2814377280.
Find LCM of 169,996,415,960,209 with Prime Factorization
| 2 | 169, 996, 415, 960, 209 |
| 2 | 169, 498, 415, 480, 209 |
| 3 | 169, 249, 415, 240, 209 |
| 5 | 169, 83, 415, 80, 209 |
| 83 | 169, 83, 83, 16, 209 |
| 169, 1, 1, 16, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 83 x 169 x 1 x 1 x 16 x 209 = 2814377280
Therefore, the lowest common multiple of 169,996,415,960,209 is 2814377280.
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 996 x 415 x 960 x 209 = 14015598854400
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
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
415 : 1, 5, 83, 415
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,996,415,960,209, is 1.
Now, the common factors can be found like this.
169:13x 13
996:2x 2x 3x 83
415:5x 83
960:2x 2x 2x 2x 2x 2x 3x 5
209:11x 19
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 3x 5x 83 = 4980
Therefore, the value for common factors is 4980.
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 = 14015598854400/(1x4980)
LCM = 14015598854400/4980
LCM = 2814377280
Thus, we can understand that the LCM of 169,996,415,960,209 is 2814377280.
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FAQs on LCM of 169, 996, 415, 960, 209
1. What is the LCM of 169, 996, 415, 960, 209?
Answer: LCM of 169, 996, 415, 960, 209 is 2814377280.
2. How to calculate the LCM of 169, 996, 415, 960, 209?
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, 996, 415, 960, 209.
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}.