Find the LCM of 169, 218, 973, 829, 986 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 169, 218, 973, 829, 986. So, keep reading to learn more.
Given numbers are 169,218,973,829,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,218,973,829,986 is 14650670072402.
Find LCM of 169,218,973,829,986 with Prime Factorization
2 | 169, 218, 973, 829, 986 |
169, 109, 973, 829, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 169 x 109 x 973 x 829 x 493 = 14650670072402
Therefore, the lowest common multiple of 169,218,973,829,986 is 14650670072402.
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.
169 x 218 x 973 x 829 x 986 = 29301340144804
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.
169 : 1, 13, 169
218 : 1, 2, 109, 218
973 : 1, 7, 139, 973
829 : 1, 829
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,218,973,829,986, is 1.
Now, the common factors can be found like this.
169:13x 13
218:2x 109
973:7x 139
829:829
986:2x 17x 29
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 = 29301340144804/(1x2)
LCM = 29301340144804/2
LCM = 14650670072402
Thus, we can understand that the LCM of 169,218,973,829,986 is 14650670072402.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 218, 973, 829, 986?
Answer: LCM of 169, 218, 973, 829, 986 is 14650670072402.
2. How to calculate the LCM of 169, 218, 973, 829, 986?
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 169, 218, 973, 829, 986.
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}.