LCM of 433, 378, 888, 369, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 378, 888, 369, 918 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 433, 378, 888, 369, 918. So, keep reading to learn more.
Given numbers are 433,378,888,369,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,378,888,369,918 is 16883955144.
Find LCM of 433,378,888,369,918 with Prime Factorization
| 2 | 433, 378, 888, 369, 918 |
| 3 | 433, 189, 444, 369, 459 |
| 3 | 433, 63, 148, 123, 153 |
| 3 | 433, 21, 148, 41, 51 |
| 433, 7, 148, 41, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 433 x 7 x 148 x 41 x 17 = 16883955144
Therefore, the lowest common multiple of 433,378,888,369,918 is 16883955144.
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.
433 x 378 x 888 x 369 x 918 = 49233613199904
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.
433 : 1, 433
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
369 : 1, 3, 9, 41, 123, 369
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,378,888,369,918, is 1.
Now, the common factors can be found like this.
433:433
378:2x 3x 3x 3x 7
888:2x 2x 2x 3x 37
369:3x 3x 41
918:2x 3x 3x 3x 17
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 3x 3x 3x 3x 3x 3 = 2916
Therefore, the value for common factors is 2916.
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 = 49233613199904/(1x2916)
LCM = 49233613199904/2916
LCM = 16883955144
Thus, we can understand that the LCM of 433,378,888,369,918 is 16883955144.
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FAQs on LCM of 433, 378, 888, 369, 918
1. What is the LCM of 433, 378, 888, 369, 918?
Answer: LCM of 433, 378, 888, 369, 918 is 16883955144.
2. How to calculate the LCM of 433, 378, 888, 369, 918?
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 433, 378, 888, 369, 918.
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}.