LCM of 181, 242, 345, 138, 249
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 181, 242, 345, 138, 249 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 181, 242, 345, 138, 249. So, keep reading to learn more.
Given numbers are 181,242,345,138,249
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,242,345,138,249 is 1254270270.
Find LCM of 181,242,345,138,249 with Prime Factorization
| 2 | 181, 242, 345, 138, 249 |
| 3 | 181, 121, 345, 69, 249 |
| 23 | 181, 121, 115, 23, 83 |
| 181, 121, 5, 1, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 181 x 121 x 5 x 1 x 83 = 1254270270
Therefore, the lowest common multiple of 181,242,345,138,249 is 1254270270.
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.
181 x 242 x 345 x 138 x 249 = 519267891780
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.
181 : 1, 181
242 : 1, 2, 11, 22, 121, 242
345 : 1, 3, 5, 15, 23, 69, 115, 345
138 : 1, 2, 3, 6, 23, 46, 69, 138
249 : 1, 3, 83, 249
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,242,345,138,249, is 1.
Now, the common factors can be found like this.
181:181
242:2x 11x 11
345:3x 5x 23
138:2x 3x 23
249:3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 519267891780/(1x414)
LCM = 519267891780/414
LCM = 1254270270
Thus, we can understand that the LCM of 181,242,345,138,249 is 1254270270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 181, 242, 345, 138, 249
1. What is the LCM of 181, 242, 345, 138, 249?
Answer: LCM of 181, 242, 345, 138, 249 is 1254270270.
2. How to calculate the LCM of 181, 242, 345, 138, 249?
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 181, 242, 345, 138, 249.
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}.