LCM of 112, 209, 238, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 209, 238, 231 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 112, 209, 238, 231. So, keep reading to learn more.
Given numbers are 112,209,238,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,209,238,231 is 1193808.
Find LCM of 112,209,238,231 with Prime Factorization
| 2 | 112, 209, 238, 231 |
| 7 | 56, 209, 119, 231 |
| 11 | 8, 209, 17, 33 |
| 8, 19, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 8 x 19 x 17 x 3 = 1193808
Therefore, the lowest common multiple of 112,209,238,231 is 1193808.
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.
112 x 209 x 238 x 231 = 1286925024
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
209 : 1, 11, 19, 209
238 : 1, 2, 7, 14, 17, 34, 119, 238
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,209,238,231, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
209:11x 19
238:2x 7x 17
231:3x 7x 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 7x 7x 11 = 1078
Therefore, the value for common factors is 1078.
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 = 1286925024/(1x1078)
LCM = 1286925024/1078
LCM = 1193808
Thus, we can understand that the LCM of 112,209,238,231 is 1193808.
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FAQs on LCM of 112, 209, 238, 231
1. What is the LCM of 112, 209, 238, 231?
Answer: LCM of 112, 209, 238, 231 is 1193808.
2. How to calculate the LCM of 112, 209, 238, 231?
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 112, 209, 238, 231.
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}.