LCM of 190, 836, 400, 904, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 836, 400, 904, 407 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 190, 836, 400, 904, 407. So, keep reading to learn more.
Given numbers are 190,836,400,904,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,836,400,904,407 is 349531600.
Find LCM of 190,836,400,904,407 with Prime Factorization
| 2 | 190, 836, 400, 904, 407 |
| 2 | 95, 418, 200, 452, 407 |
| 2 | 95, 209, 100, 226, 407 |
| 5 | 95, 209, 50, 113, 407 |
| 11 | 19, 209, 10, 113, 407 |
| 19 | 19, 19, 10, 113, 37 |
| 1, 1, 10, 113, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 19 x 1 x 1 x 10 x 113 x 37 = 349531600
Therefore, the lowest common multiple of 190,836,400,904,407 is 349531600.
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.
190 x 836 x 400 x 904 x 407 = 23376673408000
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
904 : 1, 2, 4, 8, 113, 226, 452, 904
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,836,400,904,407, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
836:2x 2x 11x 19
400:2x 2x 2x 2x 5x 5
904:2x 2x 2x 113
407:11x 37
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 2x 2x 5x 11x 19 = 66880
Therefore, the value for common factors is 66880.
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 = 23376673408000/(1x66880)
LCM = 23376673408000/66880
LCM = 349531600
Thus, we can understand that the LCM of 190,836,400,904,407 is 349531600.
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FAQs on LCM of 190, 836, 400, 904, 407
1. What is the LCM of 190, 836, 400, 904, 407?
Answer: LCM of 190, 836, 400, 904, 407 is 349531600.
2. How to calculate the LCM of 190, 836, 400, 904, 407?
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 190, 836, 400, 904, 407.
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}.