LCM of 115, 340, 231, 612, 452
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 340, 231, 612, 452 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 115, 340, 231, 612, 452. So, keep reading to learn more.
Given numbers are 115,340,231,612,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,340,231,612,452 is 612376380.
Find LCM of 115,340,231,612,452 with Prime Factorization
| 2 | 115, 340, 231, 612, 452 |
| 2 | 115, 170, 231, 306, 226 |
| 3 | 115, 85, 231, 153, 113 |
| 5 | 115, 85, 77, 51, 113 |
| 17 | 23, 17, 77, 51, 113 |
| 23, 1, 77, 3, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 23 x 1 x 77 x 3 x 113 = 612376380
Therefore, the lowest common multiple of 115,340,231,612,452 is 612376380.
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.
115 x 340 x 231 x 612 x 452 = 2498495630400
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.
115 : 1, 5, 23, 115
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
231 : 1, 3, 7, 11, 21, 33, 77, 231
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
452 : 1, 2, 4, 113, 226, 452
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,340,231,612,452, is 1.
Now, the common factors can be found like this.
115:5x 23
340:2x 2x 5x 17
231:3x 7x 11
612:2x 2x 3x 3x 17
452:2x 2x 113
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 2x 3x 5x 17 = 4080
Therefore, the value for common factors is 4080.
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 = 2498495630400/(1x4080)
LCM = 2498495630400/4080
LCM = 612376380
Thus, we can understand that the LCM of 115,340,231,612,452 is 612376380.
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FAQs on LCM of 115, 340, 231, 612, 452
1. What is the LCM of 115, 340, 231, 612, 452?
Answer: LCM of 115, 340, 231, 612, 452 is 612376380.
2. How to calculate the LCM of 115, 340, 231, 612, 452?
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 115, 340, 231, 612, 452.
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}.