LCM of 834, 899, 252, 252, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 899, 252, 252, 897 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, 899, 252, 252, 897. So, keep reading to learn more.
Given numbers are 834,899,252,252,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,899,252,252,897 is 9415561428.
Find LCM of 834,899,252,252,897 with Prime Factorization
| 2 | 834, 899, 252, 252, 897 |
| 2 | 417, 899, 126, 126, 897 |
| 3 | 417, 899, 63, 63, 897 |
| 3 | 139, 899, 21, 21, 299 |
| 7 | 139, 899, 7, 7, 299 |
| 139, 899, 1, 1, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 139 x 899 x 1 x 1 x 299 = 9415561428
Therefore, the lowest common multiple of 834,899,252,252,897 is 9415561428.
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 899 x 252 x 252 x 897 = 42708986637408
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
899 : 1, 29, 31, 899
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,899,252,252,897, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
899:29x 31
252:2x 2x 3x 3x 7
252:2x 2x 3x 3x 7
897:3x 13x 23
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 3x 3x 3x 3x 7 = 4536
Therefore, the value for common factors is 4536.
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 = 42708986637408/(1x4536)
LCM = 42708986637408/4536
LCM = 9415561428
Thus, we can understand that the LCM of 834,899,252,252,897 is 9415561428.
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FAQs on LCM of 834, 899, 252, 252, 897
1. What is the LCM of 834, 899, 252, 252, 897?
Answer: LCM of 834, 899, 252, 252, 897 is 9415561428.
2. How to calculate the LCM of 834, 899, 252, 252, 897?
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, 899, 252, 252, 897.
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}.