LCM of 243, 403, 108, 400, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 403, 108, 400, 286 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 243, 403, 108, 400, 286. So, keep reading to learn more.
Given numbers are 243,403,108,400,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,403,108,400,286 is 430887600.
Find LCM of 243,403,108,400,286 with Prime Factorization
| 2 | 243, 403, 108, 400, 286 |
| 2 | 243, 403, 54, 200, 143 |
| 3 | 243, 403, 27, 100, 143 |
| 3 | 81, 403, 9, 100, 143 |
| 3 | 27, 403, 3, 100, 143 |
| 13 | 9, 403, 1, 100, 143 |
| 9, 31, 1, 100, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 13 x 9 x 31 x 1 x 100 x 11 = 430887600
Therefore, the lowest common multiple of 243,403,108,400,286 is 430887600.
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.
243 x 403 x 108 x 400 x 286 = 1209932380800
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.
243 : 1, 3, 9, 27, 81, 243
403 : 1, 13, 31, 403
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,403,108,400,286, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
403:13x 31
108:2x 2x 3x 3x 3
400:2x 2x 2x 2x 5x 5
286:2x 11x 13
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 3x 13 = 2808
Therefore, the value for common factors is 2808.
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 = 1209932380800/(1x2808)
LCM = 1209932380800/2808
LCM = 430887600
Thus, we can understand that the LCM of 243,403,108,400,286 is 430887600.
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FAQs on LCM of 243, 403, 108, 400, 286
1. What is the LCM of 243, 403, 108, 400, 286?
Answer: LCM of 243, 403, 108, 400, 286 is 430887600.
2. How to calculate the LCM of 243, 403, 108, 400, 286?
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 243, 403, 108, 400, 286.
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}.