Find the LCM of 972, 914, 252, 914, 161 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 972, 914, 252, 914, 161. So, keep reading to learn more.
Given numbers are 972,914,252,914,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,914,252,914,161 is 71516844.
Find LCM of 972,914,252,914,161 with Prime Factorization
2 | 972, 914, 252, 914, 161 |
2 | 486, 457, 126, 457, 161 |
3 | 243, 457, 63, 457, 161 |
3 | 81, 457, 21, 457, 161 |
7 | 27, 457, 7, 457, 161 |
457 | 27, 457, 1, 457, 23 |
27, 1, 1, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 457 x 27 x 1 x 1 x 1 x 23 = 71516844
Therefore, the lowest common multiple of 972,914,252,914,161 is 71516844.
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.
972 x 914 x 252 x 914 x 161 = 32944663289664
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
914 : 1, 2, 457, 914
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
914 : 1, 2, 457, 914
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,914,252,914,161, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
914:2x 457
252:2x 2x 3x 3x 7
914:2x 457
161:7x 23
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 2x 3x 3x 7x 457 = 460656
Therefore, the value for common factors is 460656.
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 = 32944663289664/(1x460656)
LCM = 32944663289664/460656
LCM = 71516844
Thus, we can understand that the LCM of 972,914,252,914,161 is 71516844.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 914, 252, 914, 161?
Answer: LCM of 972, 914, 252, 914, 161 is 71516844.
2. How to calculate the LCM of 972, 914, 252, 914, 161?
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 972, 914, 252, 914, 161.
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}.