LCM of 836, 436, 348, 834, 622
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 436, 348, 834, 622 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, 436, 348, 834, 622. So, keep reading to learn more.
Given numbers are 836,436,348,834,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,436,348,834,622 is 342710347452.
Find LCM of 836,436,348,834,622 with Prime Factorization
| 2 | 836, 436, 348, 834, 622 |
| 2 | 418, 218, 174, 417, 311 |
| 3 | 209, 109, 87, 417, 311 |
| 209, 109, 29, 139, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 209 x 109 x 29 x 139 x 311 = 342710347452
Therefore, the lowest common multiple of 836,436,348,834,622 is 342710347452.
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 436 x 348 x 834 x 622 = 65800386710784
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
436 : 1, 2, 4, 109, 218, 436
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
834 : 1, 2, 3, 6, 139, 278, 417, 834
622 : 1, 2, 311, 622
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,436,348,834,622, is 2.
Now, the common factors can be found like this.
836:2x 2x 11x 19
436:2x 2x 109
348:2x 2x 3x 29
834:2x 3x 139
622:2x 311
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 3 = 96
Therefore, the value for common factors is 96.
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 = 65800386710784/(2x96)
LCM = 65800386710784/192
LCM = 342710347452
Thus, we can understand that the LCM of 836,436,348,834,622 is 342710347452.
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FAQs on LCM of 836, 436, 348, 834, 622
1. What is the LCM of 836, 436, 348, 834, 622?
Answer: LCM of 836, 436, 348, 834, 622 is 342710347452.
2. How to calculate the LCM of 836, 436, 348, 834, 622?
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, 436, 348, 834, 622.
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}.