LCM of 110, 715, 408, 548, 185
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 715, 408, 548, 185 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 110, 715, 408, 548, 185. So, keep reading to learn more.
Given numbers are 110,715,408,548,185
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,715,408,548,185 is 1478728680.
Find LCM of 110,715,408,548,185 with Prime Factorization
| 2 | 110, 715, 408, 548, 185 |
| 2 | 55, 715, 204, 274, 185 |
| 5 | 55, 715, 102, 137, 185 |
| 11 | 11, 143, 102, 137, 37 |
| 1, 13, 102, 137, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 1 x 13 x 102 x 137 x 37 = 1478728680
Therefore, the lowest common multiple of 110,715,408,548,185 is 1478728680.
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.
110 x 715 x 408 x 548 x 185 = 3253203096000
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
715 : 1, 5, 11, 13, 55, 65, 143, 715
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
548 : 1, 2, 4, 137, 274, 548
185 : 1, 5, 37, 185
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,715,408,548,185, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
715:5x 11x 13
408:2x 2x 2x 3x 17
548:2x 2x 137
185:5x 37
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 2x 5x 5x 11 = 2200
Therefore, the value for common factors is 2200.
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 = 3253203096000/(1x2200)
LCM = 3253203096000/2200
LCM = 1478728680
Thus, we can understand that the LCM of 110,715,408,548,185 is 1478728680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 110, 715, 408, 548, 185
1. What is the LCM of 110, 715, 408, 548, 185?
Answer: LCM of 110, 715, 408, 548, 185 is 1478728680.
2. How to calculate the LCM of 110, 715, 408, 548, 185?
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 110, 715, 408, 548, 185.
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}.