Find the LCM of 965, 987, 413, 245, 905 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 965, 987, 413, 245, 905. So, keep reading to learn more.
Given numbers are 965,987,413,245,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,987,413,245,905 is 71198868615.
Find LCM of 965,987,413,245,905 with Prime Factorization
5 | 965, 987, 413, 245, 905 |
7 | 193, 987, 413, 49, 181 |
193, 141, 59, 7, 181 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 193 x 141 x 59 x 7 x 181 = 71198868615
Therefore, the lowest common multiple of 965,987,413,245,905 is 71198868615.
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.
965 x 987 x 413 x 245 x 905 = 87218614053375
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.
965 : 1, 5, 193, 965
987 : 1, 3, 7, 21, 47, 141, 329, 987
413 : 1, 7, 59, 413
245 : 1, 5, 7, 35, 49, 245
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,987,413,245,905, is 1.
Now, the common factors can be found like this.
965:5x 193
987:3x 7x 47
413:7x 59
245:5x 7x 7
905:5x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7x 7 = 1225
Therefore, the value for common factors is 1225.
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 = 87218614053375/(1x1225)
LCM = 87218614053375/1225
LCM = 71198868615
Thus, we can understand that the LCM of 965,987,413,245,905 is 71198868615.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 965, 987, 413, 245, 905?
Answer: LCM of 965, 987, 413, 245, 905 is 71198868615.
2. How to calculate the LCM of 965, 987, 413, 245, 905?
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 965, 987, 413, 245, 905.
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}.