LCM of 216, 424, 505, 303, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 424, 505, 303, 996 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 216, 424, 505, 303, 996. So, keep reading to learn more.
Given numbers are 216,424,505,303,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,424,505,303,996 is 479842920.
Find LCM of 216,424,505,303,996 with Prime Factorization
| 2 | 216, 424, 505, 303, 996 |
| 2 | 108, 212, 505, 303, 498 |
| 2 | 54, 106, 505, 303, 249 |
| 3 | 27, 53, 505, 303, 249 |
| 101 | 9, 53, 505, 101, 83 |
| 9, 53, 5, 1, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 101 x 9 x 53 x 5 x 1 x 83 = 479842920
Therefore, the lowest common multiple of 216,424,505,303,996 is 479842920.
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.
216 x 424 x 505 x 303 x 996 = 13957670856960
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
424 : 1, 2, 4, 8, 53, 106, 212, 424
505 : 1, 5, 101, 505
303 : 1, 3, 101, 303
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,424,505,303,996, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
424:2x 2x 2x 53
505:5x 101
303:3x 101
996:2x 2x 3x 83
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 3x 3x 101 = 29088
Therefore, the value for common factors is 29088.
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 = 13957670856960/(1x29088)
LCM = 13957670856960/29088
LCM = 479842920
Thus, we can understand that the LCM of 216,424,505,303,996 is 479842920.
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FAQs on LCM of 216, 424, 505, 303, 996
1. What is the LCM of 216, 424, 505, 303, 996?
Answer: LCM of 216, 424, 505, 303, 996 is 479842920.
2. How to calculate the LCM of 216, 424, 505, 303, 996?
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 216, 424, 505, 303, 996.
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}.