LCM of 209, 836, 803, 404, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 836, 803, 404, 513 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 209, 836, 803, 404, 513. So, keep reading to learn more.
Given numbers are 209,836,803,404,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,836,803,404,513 is 166423356.
Find LCM of 209,836,803,404,513 with Prime Factorization
| 2 | 209, 836, 803, 404, 513 |
| 2 | 209, 418, 803, 202, 513 |
| 11 | 209, 209, 803, 101, 513 |
| 19 | 19, 19, 73, 101, 513 |
| 1, 1, 73, 101, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 1 x 1 x 73 x 101 x 27 = 166423356
Therefore, the lowest common multiple of 209,836,803,404,513 is 166423356.
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.
209 x 836 x 803 x 404 x 513 = 29078154453744
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.
209 : 1, 11, 19, 209
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
803 : 1, 11, 73, 803
404 : 1, 2, 4, 101, 202, 404
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,836,803,404,513, is 1.
Now, the common factors can be found like this.
209:11x 19
836:2x 2x 11x 19
803:11x 73
404:2x 2x 101
513:3x 3x 3x 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 11x 11x 19x 19 = 174724
Therefore, the value for common factors is 174724.
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 = 29078154453744/(1x174724)
LCM = 29078154453744/174724
LCM = 166423356
Thus, we can understand that the LCM of 209,836,803,404,513 is 166423356.
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FAQs on LCM of 209, 836, 803, 404, 513
1. What is the LCM of 209, 836, 803, 404, 513?
Answer: LCM of 209, 836, 803, 404, 513 is 166423356.
2. How to calculate the LCM of 209, 836, 803, 404, 513?
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 209, 836, 803, 404, 513.
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}.