Find the LCM of 180, 663, 138, 791, 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 180, 663, 138, 791, 558. So, keep reading to learn more.
Given numbers are 180,663,138,791,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,663,138,791,558 is 22435243740.
Find LCM of 180,663,138,791,558 with Prime Factorization
2 | 180, 663, 138, 791, 558 |
3 | 90, 663, 69, 791, 279 |
3 | 30, 221, 23, 791, 93 |
10, 221, 23, 791, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 10 x 221 x 23 x 791 x 31 = 22435243740
Therefore, the lowest common multiple of 180,663,138,791,558 is 22435243740.
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.
180 x 663 x 138 x 791 x 558 = 7269018971760
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
663 : 1, 3, 13, 17, 39, 51, 221, 663
138 : 1, 2, 3, 6, 23, 46, 69, 138
791 : 1, 7, 113, 791
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 180,663,138,791,558, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
663:3x 13x 17
138:2x 3x 23
791:7x 113
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.
2x 2x 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 7269018971760/(1x324)
LCM = 7269018971760/324
LCM = 22435243740
Thus, we can understand that the LCM of 180,663,138,791,558 is 22435243740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 180, 663, 138, 791, 558?
Answer: LCM of 180, 663, 138, 791, 558 is 22435243740.
2. How to calculate the LCM of 180, 663, 138, 791, 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 180, 663, 138, 791, 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}.