Find the LCM of 161, 729, 365, 555, 558 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 161, 729, 365, 555, 558. So, keep reading to learn more.
Given numbers are 161,729,365,555,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,729,365,555,558 is 98274237390.
Find LCM of 161,729,365,555,558 with Prime Factorization
3 | 161, 729, 365, 555, 558 |
3 | 161, 243, 365, 185, 186 |
5 | 161, 81, 365, 185, 62 |
161, 81, 73, 37, 62 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 161 x 81 x 73 x 37 x 62 = 98274237390
Therefore, the lowest common multiple of 161,729,365,555,558 is 98274237390.
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.
161 x 729 x 365 x 555 x 558 = 13267022047650
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.
161 : 1, 7, 23, 161
729 : 1, 3, 9, 27, 81, 243, 729
365 : 1, 5, 73, 365
555 : 1, 3, 5, 15, 37, 111, 185, 555
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,729,365,555,558, is 1.
Now, the common factors can be found like this.
161:7x 23
729:3x 3x 3x 3x 3x 3
365:5x 73
555:3x 5x 37
558:2x 3x 3x 31
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 5 = 135
Therefore, the value for common factors is 135.
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 = 13267022047650/(1x135)
LCM = 13267022047650/135
LCM = 98274237390
Thus, we can understand that the LCM of 161,729,365,555,558 is 98274237390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 161, 729, 365, 555, 558?
Answer: LCM of 161, 729, 365, 555, 558 is 98274237390.
2. How to calculate the LCM of 161, 729, 365, 555, 558?
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 161, 729, 365, 555, 558.
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}.