Find the LCM of 165, 462, 378, 568, 927 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 165, 462, 378, 568, 927. So, keep reading to learn more.
Given numbers are 165,462,378,568,927
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,462,378,568,927 is 608149080.
Find LCM of 165,462,378,568,927 with Prime Factorization
2 | 165, 462, 378, 568, 927 |
3 | 165, 231, 189, 284, 927 |
3 | 55, 77, 63, 284, 309 |
7 | 55, 77, 21, 284, 103 |
11 | 55, 11, 3, 284, 103 |
5, 1, 3, 284, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 5 x 1 x 3 x 284 x 103 = 608149080
Therefore, the lowest common multiple of 165,462,378,568,927 is 608149080.
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.
165 x 462 x 378 x 568 x 927 = 15172103247840
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
568 : 1, 2, 4, 8, 71, 142, 284, 568
927 : 1, 3, 9, 103, 309, 927
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,462,378,568,927, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
462:2x 3x 7x 11
378:2x 3x 3x 3x 7
568:2x 2x 2x 71
927:3x 3x 103
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 3x 3x 3x 3x 7x 11 = 24948
Therefore, the value for common factors is 24948.
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 = 15172103247840/(1x24948)
LCM = 15172103247840/24948
LCM = 608149080
Thus, we can understand that the LCM of 165,462,378,568,927 is 608149080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 165, 462, 378, 568, 927?
Answer: LCM of 165, 462, 378, 568, 927 is 608149080.
2. How to calculate the LCM of 165, 462, 378, 568, 927?
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 165, 462, 378, 568, 927.
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}.