LCM of 869, 324, 198, 729, 155
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 324, 198, 729, 155 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 869, 324, 198, 729, 155. So, keep reading to learn more.
Given numbers are 869,324,198,729,155
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,324,198,729,155 is 392770620.
Find LCM of 869,324,198,729,155 with Prime Factorization
| 2 | 869, 324, 198, 729, 155 |
| 3 | 869, 162, 99, 729, 155 |
| 3 | 869, 54, 33, 243, 155 |
| 3 | 869, 18, 11, 81, 155 |
| 3 | 869, 6, 11, 27, 155 |
| 11 | 869, 2, 11, 9, 155 |
| 79, 2, 1, 9, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 11 x 79 x 2 x 1 x 9 x 155 = 392770620
Therefore, the lowest common multiple of 869,324,198,729,155 is 392770620.
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.
869 x 324 x 198 x 729 x 155 = 6299255203560
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.
869 : 1, 11, 79, 869
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
729 : 1, 3, 9, 27, 81, 243, 729
155 : 1, 5, 31, 155
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,324,198,729,155, is 1.
Now, the common factors can be found like this.
869:11x 79
324:2x 2x 3x 3x 3x 3
198:2x 3x 3x 11
729:3x 3x 3x 3x 3x 3
155:5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 3x 11 = 16038
Therefore, the value for common factors is 16038.
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 = 6299255203560/(1x16038)
LCM = 6299255203560/16038
LCM = 392770620
Thus, we can understand that the LCM of 869,324,198,729,155 is 392770620.
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FAQs on LCM of 869, 324, 198, 729, 155
1. What is the LCM of 869, 324, 198, 729, 155?
Answer: LCM of 869, 324, 198, 729, 155 is 392770620.
2. How to calculate the LCM of 869, 324, 198, 729, 155?
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 869, 324, 198, 729, 155.
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}.