LCM of 836, 908, 289, 946, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 908, 289, 946, 361 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 836, 908, 289, 946, 361. So, keep reading to learn more.
Given numbers are 836,908,289,946,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,908,289,946,361 is 44807636236.
Find LCM of 836,908,289,946,361 with Prime Factorization
| 2 | 836, 908, 289, 946, 361 |
| 2 | 418, 454, 289, 473, 361 |
| 11 | 209, 227, 289, 473, 361 |
| 19 | 19, 227, 289, 43, 361 |
| 1, 227, 289, 43, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 1 x 227 x 289 x 43 x 19 = 44807636236
Therefore, the lowest common multiple of 836,908,289,946,361 is 44807636236.
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.
836 x 908 x 289 x 946 x 361 = 74918367786592
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
908 : 1, 2, 4, 227, 454, 908
289 : 1, 17, 289
946 : 1, 2, 11, 22, 43, 86, 473, 946
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,908,289,946,361, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
908:2x 2x 227
289:17x 17
946:2x 11x 43
361:19x 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 2x 11x 19 = 1672
Therefore, the value for common factors is 1672.
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 = 74918367786592/(1x1672)
LCM = 74918367786592/1672
LCM = 44807636236
Thus, we can understand that the LCM of 836,908,289,946,361 is 44807636236.
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FAQs on LCM of 836, 908, 289, 946, 361
1. What is the LCM of 836, 908, 289, 946, 361?
Answer: LCM of 836, 908, 289, 946, 361 is 44807636236.
2. How to calculate the LCM of 836, 908, 289, 946, 361?
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 836, 908, 289, 946, 361.
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}.