Find the LCM of 729, 589, 987, 171, 546 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 729, 589, 987, 171, 546. So, keep reading to learn more.
Given numbers are 729,589,987,171,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,589,987,171,546 is 3672925074.
Find LCM of 729,589,987,171,546 with Prime Factorization
3 | 729, 589, 987, 171, 546 |
3 | 243, 589, 329, 57, 182 |
7 | 81, 589, 329, 19, 182 |
19 | 81, 589, 47, 19, 26 |
81, 31, 47, 1, 26 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 19 x 81 x 31 x 47 x 1 x 26 = 3672925074
Therefore, the lowest common multiple of 729,589,987,171,546 is 3672925074.
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.
729 x 589 x 987 x 171 x 546 = 39568421822202
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.
729 : 1, 3, 9, 27, 81, 243, 729
589 : 1, 19, 31, 589
987 : 1, 3, 7, 21, 47, 141, 329, 987
171 : 1, 3, 9, 19, 57, 171
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,589,987,171,546, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
589:19x 31
987:3x 7x 47
171:3x 3x 19
546:2x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 7x 19 = 10773
Therefore, the value for common factors is 10773.
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 = 39568421822202/(1x10773)
LCM = 39568421822202/10773
LCM = 3672925074
Thus, we can understand that the LCM of 729,589,987,171,546 is 3672925074.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 729, 589, 987, 171, 546?
Answer: LCM of 729, 589, 987, 171, 546 is 3672925074.
2. How to calculate the LCM of 729, 589, 987, 171, 546?
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 729, 589, 987, 171, 546.
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}.