LCM of 111, 187, 275, 108, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 187, 275, 108, 119 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 111, 187, 275, 108, 119. So, keep reading to learn more.
Given numbers are 111,187,275,108,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,187,275,108,119 is 130769100.
Find LCM of 111,187,275,108,119 with Prime Factorization
| 3 | 111, 187, 275, 108, 119 |
| 11 | 37, 187, 275, 36, 119 |
| 17 | 37, 17, 25, 36, 119 |
| 37, 1, 25, 36, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 37 x 1 x 25 x 36 x 7 = 130769100
Therefore, the lowest common multiple of 111,187,275,108,119 is 130769100.
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.
111 x 187 x 275 x 108 x 119 = 73361465100
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.
111 : 1, 3, 37, 111
187 : 1, 11, 17, 187
275 : 1, 5, 11, 25, 55, 275
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,187,275,108,119, is 1.
Now, the common factors can be found like this.
111:3x 37
187:11x 17
275:5x 5x 11
108:2x 2x 3x 3x 3
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17 = 561
Therefore, the value for common factors is 561.
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 = 73361465100/(1x561)
LCM = 73361465100/561
LCM = 130769100
Thus, we can understand that the LCM of 111,187,275,108,119 is 130769100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 111, 187, 275, 108, 119
1. What is the LCM of 111, 187, 275, 108, 119?
Answer: LCM of 111, 187, 275, 108, 119 is 130769100.
2. How to calculate the LCM of 111, 187, 275, 108, 119?
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 111, 187, 275, 108, 119.
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}.