Find the LCM of 989, 913, 379, 345, 341 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 989, 913, 379, 345, 341. So, keep reading to learn more.
Given numbers are 989,913,379,345,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,913,379,345,341 is 159132626895.
Find LCM of 989,913,379,345,341 with Prime Factorization
11 | 989, 913, 379, 345, 341 |
23 | 989, 83, 379, 345, 31 |
43, 83, 379, 15, 31 |
Multiply the prime numbers at the bottom and the left side.
11 x 23 x 43 x 83 x 379 x 15 x 31 = 159132626895
Therefore, the lowest common multiple of 989,913,379,345,341 is 159132626895.
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.
989 x 913 x 379 x 345 x 341 = 40260554604435
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.
989 : 1, 23, 43, 989
913 : 1, 11, 83, 913
379 : 1, 379
345 : 1, 3, 5, 15, 23, 69, 115, 345
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,913,379,345,341, is 1.
Now, the common factors can be found like this.
989:23x 43
913:11x 83
379:379
345:3x 5x 23
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 23 = 253
Therefore, the value for common factors is 253.
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 = 40260554604435/(1x253)
LCM = 40260554604435/253
LCM = 159132626895
Thus, we can understand that the LCM of 989,913,379,345,341 is 159132626895.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 913, 379, 345, 341?
Answer: LCM of 989, 913, 379, 345, 341 is 159132626895.
2. How to calculate the LCM of 989, 913, 379, 345, 341?
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 989, 913, 379, 345, 341.
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}.