Find the LCM of 972, 793, 868, 442, 392 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, 793, 868, 442, 392. So, keep reading to learn more.
Given numbers are 972,793,868,442,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,793,868,442,392 is 39808530216.
Find LCM of 972,793,868,442,392 with Prime Factorization
2 | 972, 793, 868, 442, 392 |
2 | 486, 793, 434, 221, 196 |
7 | 243, 793, 217, 221, 98 |
13 | 243, 793, 31, 221, 14 |
243, 61, 31, 17, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 243 x 61 x 31 x 17 x 14 = 39808530216
Therefore, the lowest common multiple of 972,793,868,442,392 is 39808530216.
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 793 x 868 x 442 x 392 = 115922439988992
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
793 : 1, 13, 61, 793
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
442 : 1, 2, 13, 17, 26, 34, 221, 442
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,793,868,442,392, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
793:13x 61
868:2x 2x 7x 31
442:2x 13x 17
392:2x 2x 2x 7x 7
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 2x 7x 13 = 2912
Therefore, the value for common factors is 2912.
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 = 115922439988992/(1x2912)
LCM = 115922439988992/2912
LCM = 39808530216
Thus, we can understand that the LCM of 972,793,868,442,392 is 39808530216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 793, 868, 442, 392?
Answer: LCM of 972, 793, 868, 442, 392 is 39808530216.
2. How to calculate the LCM of 972, 793, 868, 442, 392?
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, 793, 868, 442, 392.
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}.