LCM of 834, 409, 112, 912, 422
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 409, 112, 912, 422 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, 409, 112, 912, 422. So, keep reading to learn more.
Given numbers are 834,409,112,912,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,409,112,912,422 is 76579661424.
Find LCM of 834,409,112,912,422 with Prime Factorization
| 2 | 834, 409, 112, 912, 422 |
| 2 | 417, 409, 56, 456, 211 |
| 2 | 417, 409, 28, 228, 211 |
| 2 | 417, 409, 14, 114, 211 |
| 3 | 417, 409, 7, 57, 211 |
| 139, 409, 7, 19, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 139 x 409 x 7 x 19 x 211 = 76579661424
Therefore, the lowest common multiple of 834,409,112,912,422 is 76579661424.
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 409 x 112 x 912 x 422 = 14703294993408
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
409 : 1, 409
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
422 : 1, 2, 211, 422
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,409,112,912,422, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
409:409
112:2x 2x 2x 2x 7
912:2x 2x 2x 2x 3x 19
422:2x 211
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 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 14703294993408/(1x192)
LCM = 14703294993408/192
LCM = 76579661424
Thus, we can understand that the LCM of 834,409,112,912,422 is 76579661424.
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FAQs on LCM of 834, 409, 112, 912, 422
1. What is the LCM of 834, 409, 112, 912, 422?
Answer: LCM of 834, 409, 112, 912, 422 is 76579661424.
2. How to calculate the LCM of 834, 409, 112, 912, 422?
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, 409, 112, 912, 422.
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}.