Find the LCM of 972, 567, 809, 786, 892 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, 567, 809, 786, 892. So, keep reading to learn more.
Given numbers are 972,567,809,786,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,567,809,786,892 is 160801088868.
Find LCM of 972,567,809,786,892 with Prime Factorization
2 | 972, 567, 809, 786, 892 |
2 | 486, 567, 809, 393, 446 |
3 | 243, 567, 809, 393, 223 |
3 | 81, 189, 809, 131, 223 |
3 | 27, 63, 809, 131, 223 |
3 | 9, 21, 809, 131, 223 |
3, 7, 809, 131, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 809 x 131 x 223 = 160801088868
Therefore, the lowest common multiple of 972,567,809,786,892 is 160801088868.
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 567 x 809 x 786 x 892 = 312597316759392
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
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
809 : 1, 809
786 : 1, 2, 3, 6, 131, 262, 393, 786
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,567,809,786,892, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
567:3x 3x 3x 3x 7
809:809
786:2x 3x 131
892:2x 2x 223
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 3x 3x 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 312597316759392/(1x1944)
LCM = 312597316759392/1944
LCM = 160801088868
Thus, we can understand that the LCM of 972,567,809,786,892 is 160801088868.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 567, 809, 786, 892?
Answer: LCM of 972, 567, 809, 786, 892 is 160801088868.
2. How to calculate the LCM of 972, 567, 809, 786, 892?
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, 567, 809, 786, 892.
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}.