LCM of 882, 867, 897, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 867, 897, 629 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 882, 867, 897, 629. So, keep reading to learn more.
Given numbers are 882,867,897,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,867,897,629 is 2819936574.
Find LCM of 882,867,897,629 with Prime Factorization
| 3 | 882, 867, 897, 629 |
| 17 | 294, 289, 299, 629 |
| 294, 17, 299, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 294 x 17 x 299 x 37 = 2819936574
Therefore, the lowest common multiple of 882,867,897,629 is 2819936574.
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.
882 x 867 x 897 x 629 = 431450295822
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
867 : 1, 3, 17, 51, 289, 867
897 : 1, 3, 13, 23, 39, 69, 299, 897
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,867,897,629, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
867:3x 17x 17
897:3x 13x 23
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17 = 153
Therefore, the value for common factors is 153.
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 = 431450295822/(1x153)
LCM = 431450295822/153
LCM = 2819936574
Thus, we can understand that the LCM of 882,867,897,629 is 2819936574.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 882, 867, 897, 629
1. What is the LCM of 882, 867, 897, 629?
Answer: LCM of 882, 867, 897, 629 is 2819936574.
2. How to calculate the LCM of 882, 867, 897, 629?
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 882, 867, 897, 629.
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}.