Find the LCM of 995, 230, 417, 170, 110 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 995, 230, 417, 170, 110. So, keep reading to learn more.
Given numbers are 995,230,417,170,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,230,417,170,110 is 3569098830.
Find LCM of 995,230,417,170,110 with Prime Factorization
2 | 995, 230, 417, 170, 110 |
5 | 995, 115, 417, 85, 55 |
199, 23, 417, 17, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 199 x 23 x 417 x 17 x 11 = 3569098830
Therefore, the lowest common multiple of 995,230,417,170,110 is 3569098830.
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.
995 x 230 x 417 x 170 x 110 = 1784549415000
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.
995 : 1, 5, 199, 995
230 : 1, 2, 5, 10, 23, 46, 115, 230
417 : 1, 3, 139, 417
170 : 1, 2, 5, 10, 17, 34, 85, 170
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,230,417,170,110, is 1.
Now, the common factors can be found like this.
995:5x 199
230:2x 5x 23
417:3x 139
170:2x 5x 17
110:2x 5x 11
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 5x 5x 5 = 500
Therefore, the value for common factors is 500.
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 = 1784549415000/(1x500)
LCM = 1784549415000/500
LCM = 3569098830
Thus, we can understand that the LCM of 995,230,417,170,110 is 3569098830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 230, 417, 170, 110?
Answer: LCM of 995, 230, 417, 170, 110 is 3569098830.
2. How to calculate the LCM of 995, 230, 417, 170, 110?
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 995, 230, 417, 170, 110.
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}.