LCM of 131, 240, 231, 418, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 131, 240, 231, 418, 732 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 131, 240, 231, 418, 732. So, keep reading to learn more.
Given numbers are 131,240,231,418,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,240,231,418,732 is 2805799920.
Find LCM of 131,240,231,418,732 with Prime Factorization
| 2 | 131, 240, 231, 418, 732 |
| 2 | 131, 120, 231, 209, 366 |
| 3 | 131, 60, 231, 209, 183 |
| 11 | 131, 20, 77, 209, 61 |
| 131, 20, 7, 19, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 131 x 20 x 7 x 19 x 61 = 2805799920
Therefore, the lowest common multiple of 131,240,231,418,732 is 2805799920.
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.
131 x 240 x 231 x 418 x 732 = 2222193536640
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.
131 : 1, 131
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
231 : 1, 3, 7, 11, 21, 33, 77, 231
418 : 1, 2, 11, 19, 22, 38, 209, 418
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,240,231,418,732, is 1.
Now, the common factors can be found like this.
131:131
240:2x 2x 2x 2x 3x 5
231:3x 7x 11
418:2x 11x 19
732:2x 2x 3x 61
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 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 2222193536640/(1x792)
LCM = 2222193536640/792
LCM = 2805799920
Thus, we can understand that the LCM of 131,240,231,418,732 is 2805799920.
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FAQs on LCM of 131, 240, 231, 418, 732
1. What is the LCM of 131, 240, 231, 418, 732?
Answer: LCM of 131, 240, 231, 418, 732 is 2805799920.
2. How to calculate the LCM of 131, 240, 231, 418, 732?
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 131, 240, 231, 418, 732.
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}.