LCM of 867, 704, 458, 989, 379
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 704, 458, 989, 379 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 867, 704, 458, 989, 379. So, keep reading to learn more.
Given numbers are 867,704,458,989,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,704,458,989,379 is 52391730148032.
Find LCM of 867,704,458,989,379 with Prime Factorization
| 2 | 867, 704, 458, 989, 379 |
| 867, 352, 229, 989, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 867 x 352 x 229 x 989 x 379 = 52391730148032
Therefore, the lowest common multiple of 867,704,458,989,379 is 52391730148032.
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.
867 x 704 x 458 x 989 x 379 = 104783460296064
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.
867 : 1, 3, 17, 51, 289, 867
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
458 : 1, 2, 229, 458
989 : 1, 23, 43, 989
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,704,458,989,379, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
704:2x 2x 2x 2x 2x 2x 11
458:2x 229
989:23x 43
379:379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 104783460296064/(1x2)
LCM = 104783460296064/2
LCM = 52391730148032
Thus, we can understand that the LCM of 867,704,458,989,379 is 52391730148032.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 867, 704, 458, 989, 379
1. What is the LCM of 867, 704, 458, 989, 379?
Answer: LCM of 867, 704, 458, 989, 379 is 52391730148032.
2. How to calculate the LCM of 867, 704, 458, 989, 379?
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 867, 704, 458, 989, 379.
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}.