LCM of 834, 422, 422, 608, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 422, 422, 608, 936 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 834, 422, 422, 608, 936. So, keep reading to learn more.
Given numbers are 834,422,422,608,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,422,422,608,936 is 2086347744.
Find LCM of 834,422,422,608,936 with Prime Factorization
| 2 | 834, 422, 422, 608, 936 |
| 2 | 417, 211, 211, 304, 468 |
| 2 | 417, 211, 211, 152, 234 |
| 3 | 417, 211, 211, 76, 117 |
| 211 | 139, 211, 211, 76, 39 |
| 139, 1, 1, 76, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 211 x 139 x 1 x 1 x 76 x 39 = 2086347744
Therefore, the lowest common multiple of 834,422,422,608,936 is 2086347744.
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.
834 x 422 x 422 x 608 x 936 = 84522119804928
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
422 : 1, 2, 211, 422
422 : 1, 2, 211, 422
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,422,422,608,936, is 2.
Now, the common factors can be found like this.
834:2x 3x 139
422:2x 211
422:2x 211
608:2x 2x 2x 2x 2x 19
936:2x 2x 2x 3x 3x 13
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 211 = 20256
Therefore, the value for common factors is 20256.
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 = 84522119804928/(2x20256)
LCM = 84522119804928/40512
LCM = 2086347744
Thus, we can understand that the LCM of 834,422,422,608,936 is 2086347744.
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FAQs on LCM of 834, 422, 422, 608, 936
1. What is the LCM of 834, 422, 422, 608, 936?
Answer: LCM of 834, 422, 422, 608, 936 is 2086347744.
2. How to calculate the LCM of 834, 422, 422, 608, 936?
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 834, 422, 422, 608, 936.
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}.