LCM of 216, 181, 296, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 181, 296, 741 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 216, 181, 296, 741. So, keep reading to learn more.
Given numbers are 216,181,296,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,181,296,741 is 357298344.
Find LCM of 216,181,296,741 with Prime Factorization
| 2 | 216, 181, 296, 741 |
| 2 | 108, 181, 148, 741 |
| 2 | 54, 181, 74, 741 |
| 3 | 27, 181, 37, 741 |
| 9, 181, 37, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 9 x 181 x 37 x 247 = 357298344
Therefore, the lowest common multiple of 216,181,296,741 is 357298344.
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.
216 x 181 x 296 x 741 = 8575160256
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
181 : 1, 181
296 : 1, 2, 4, 8, 37, 74, 148, 296
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,181,296,741, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
181:181
296:2x 2x 2x 37
741:3x 13x 19
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 3 = 24
Therefore, the value for common factors is 24.
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 = 8575160256/(1x24)
LCM = 8575160256/24
LCM = 357298344
Thus, we can understand that the LCM of 216,181,296,741 is 357298344.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 216, 181, 296, 741
1. What is the LCM of 216, 181, 296, 741?
Answer: LCM of 216, 181, 296, 741 is 357298344.
2. How to calculate the LCM of 216, 181, 296, 741?
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 216, 181, 296, 741.
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}.