Find the LCM of 965, 943, 896, 986, 116 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, 943, 896, 986, 116. So, keep reading to learn more.
Given numbers are 965,943,896,986,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,943,896,986,116 is 401970271360.
Find LCM of 965,943,896,986,116 with Prime Factorization
2 | 965, 943, 896, 986, 116 |
2 | 965, 943, 448, 493, 58 |
29 | 965, 943, 224, 493, 29 |
965, 943, 224, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 965 x 943 x 224 x 17 x 1 = 401970271360
Therefore, the lowest common multiple of 965,943,896,986,116 is 401970271360.
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 943 x 896 x 986 x 116 = 93257102955520
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
943 : 1, 23, 41, 943
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
986 : 1, 2, 17, 29, 34, 58, 493, 986
116 : 1, 2, 4, 29, 58, 116
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,943,896,986,116, is 1.
Now, the common factors can be found like this.
965:5x 193
943:23x 41
896:2x 2x 2x 2x 2x 2x 2x 7
986:2x 17x 29
116:2x 2x 29
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 2x 29 = 232
Therefore, the value for common factors is 232.
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 = 93257102955520/(1x232)
LCM = 93257102955520/232
LCM = 401970271360
Thus, we can understand that the LCM of 965,943,896,986,116 is 401970271360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 965, 943, 896, 986, 116?
Answer: LCM of 965, 943, 896, 986, 116 is 401970271360.
2. How to calculate the LCM of 965, 943, 896, 986, 116?
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, 943, 896, 986, 116.
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}.