LCM of 843, 216, 990, 904, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 216, 990, 904, 352 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 843, 216, 990, 904, 352. So, keep reading to learn more.
Given numbers are 843,216,990,904,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,216,990,904,352 is 1508902560.
Find LCM of 843,216,990,904,352 with Prime Factorization
| 2 | 843, 216, 990, 904, 352 |
| 2 | 843, 108, 495, 452, 176 |
| 2 | 843, 54, 495, 226, 88 |
| 3 | 843, 27, 495, 113, 44 |
| 3 | 281, 9, 165, 113, 44 |
| 11 | 281, 3, 55, 113, 44 |
| 281, 3, 5, 113, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 281 x 3 x 5 x 113 x 4 = 1508902560
Therefore, the lowest common multiple of 843,216,990,904,352 is 1508902560.
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.
843 x 216 x 990 x 904 x 352 = 57362439720960
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.
843 : 1, 3, 281, 843
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
904 : 1, 2, 4, 8, 113, 226, 452, 904
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,216,990,904,352, is 1.
Now, the common factors can be found like this.
843:3x 281
216:2x 2x 2x 3x 3x 3
990:2x 3x 3x 5x 11
904:2x 2x 2x 113
352:2x 2x 2x 2x 2x 11
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 2x 3x 3x 3x 11 = 38016
Therefore, the value for common factors is 38016.
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 = 57362439720960/(1x38016)
LCM = 57362439720960/38016
LCM = 1508902560
Thus, we can understand that the LCM of 843,216,990,904,352 is 1508902560.
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FAQs on LCM of 843, 216, 990, 904, 352
1. What is the LCM of 843, 216, 990, 904, 352?
Answer: LCM of 843, 216, 990, 904, 352 is 1508902560.
2. How to calculate the LCM of 843, 216, 990, 904, 352?
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 843, 216, 990, 904, 352.
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}.