Find the LCM of 987, 713, 964, 996, 887 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 987, 713, 964, 996, 887. So, keep reading to learn more.
Given numbers are 987,713,964,996,887
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,713,964,996,887 is 49944242272764.
Find LCM of 987,713,964,996,887 with Prime Factorization
2 | 987, 713, 964, 996, 887 |
2 | 987, 713, 482, 498, 887 |
3 | 987, 713, 241, 249, 887 |
329, 713, 241, 83, 887 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 329 x 713 x 241 x 83 x 887 = 49944242272764
Therefore, the lowest common multiple of 987,713,964,996,887 is 49944242272764.
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.
987 x 713 x 964 x 996 x 887 = 599330907273168
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
713 : 1, 23, 31, 713
964 : 1, 2, 4, 241, 482, 964
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
887 : 1, 887
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,713,964,996,887, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
713:23x 31
964:2x 2x 241
996:2x 2x 3x 83
887:887
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 3 = 12
Therefore, the value for common factors is 12.
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 = 599330907273168/(1x12)
LCM = 599330907273168/12
LCM = 49944242272764
Thus, we can understand that the LCM of 987,713,964,996,887 is 49944242272764.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 987, 713, 964, 996, 887?
Answer: LCM of 987, 713, 964, 996, 887 is 49944242272764.
2. How to calculate the LCM of 987, 713, 964, 996, 887?
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 987, 713, 964, 996, 887.
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}.