LCM of 115, 180, 363, 106, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 180, 363, 106, 508 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, 180, 363, 106, 508. So, keep reading to learn more.
Given numbers are 115,180,363,106,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,180,363,106,508 is 3371827140.
Find LCM of 115,180,363,106,508 with Prime Factorization
| 2 | 115, 180, 363, 106, 508 |
| 2 | 115, 90, 363, 53, 254 |
| 3 | 115, 45, 363, 53, 127 |
| 5 | 115, 15, 121, 53, 127 |
| 23, 3, 121, 53, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 3 x 121 x 53 x 127 = 3371827140
Therefore, the lowest common multiple of 115,180,363,106,508 is 3371827140.
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 180 x 363 x 106 x 508 = 404619256800
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
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
363 : 1, 3, 11, 33, 121, 363
106 : 1, 2, 53, 106
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,180,363,106,508, is 1.
Now, the common factors can be found like this.
115:5x 23
180:2x 2x 3x 3x 5
363:3x 11x 11
106:2x 53
508:2x 2x 127
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 404619256800/(1x120)
LCM = 404619256800/120
LCM = 3371827140
Thus, we can understand that the LCM of 115,180,363,106,508 is 3371827140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 115, 180, 363, 106, 508
1. What is the LCM of 115, 180, 363, 106, 508?
Answer: LCM of 115, 180, 363, 106, 508 is 3371827140.
2. How to calculate the LCM of 115, 180, 363, 106, 508?
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, 180, 363, 106, 508.
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}.