LCM of 836, 296, 251, 612, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 296, 251, 612, 198 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, 296, 251, 612, 198. So, keep reading to learn more.
Given numbers are 836,296,251,612,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,296,251,612,198 is 2375763192.
Find LCM of 836,296,251,612,198 with Prime Factorization
| 2 | 836, 296, 251, 612, 198 |
| 2 | 418, 148, 251, 306, 99 |
| 3 | 209, 74, 251, 153, 99 |
| 3 | 209, 74, 251, 51, 33 |
| 11 | 209, 74, 251, 17, 11 |
| 19, 74, 251, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 19 x 74 x 251 x 17 x 1 = 2375763192
Therefore, the lowest common multiple of 836,296,251,612,198 is 2375763192.
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 296 x 251 x 612 x 198 = 7526417792256
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
296 : 1, 2, 4, 8, 37, 74, 148, 296
251 : 1, 251
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,296,251,612,198, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
296:2x 2x 2x 37
251:251
612:2x 2x 3x 3x 17
198:2x 3x 3x 11
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 2x 3x 3x 11 = 3168
Therefore, the value for common factors is 3168.
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 = 7526417792256/(1x3168)
LCM = 7526417792256/3168
LCM = 2375763192
Thus, we can understand that the LCM of 836,296,251,612,198 is 2375763192.
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FAQs on LCM of 836, 296, 251, 612, 198
1. What is the LCM of 836, 296, 251, 612, 198?
Answer: LCM of 836, 296, 251, 612, 198 is 2375763192.
2. How to calculate the LCM of 836, 296, 251, 612, 198?
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, 296, 251, 612, 198.
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}.