LCM of 211, 420, 309, 305, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 211, 420, 309, 305, 504 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 211, 420, 309, 305, 504. So, keep reading to learn more.
Given numbers are 211,420,309,305,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,420,309,305,504 is 3340796760.
Find LCM of 211,420,309,305,504 with Prime Factorization
| 2 | 211, 420, 309, 305, 504 |
| 2 | 211, 210, 309, 305, 252 |
| 3 | 211, 105, 309, 305, 126 |
| 5 | 211, 35, 103, 305, 42 |
| 7 | 211, 7, 103, 61, 42 |
| 211, 1, 103, 61, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 211 x 1 x 103 x 61 x 6 = 3340796760
Therefore, the lowest common multiple of 211,420,309,305,504 is 3340796760.
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.
211 x 420 x 309 x 305 x 504 = 4209403917600
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.
211 : 1, 211
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
309 : 1, 3, 103, 309
305 : 1, 5, 61, 305
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,420,309,305,504, is 1.
Now, the common factors can be found like this.
211:211
420:2x 2x 3x 5x 7
309:3x 103
305:5x 61
504:2x 2x 2x 3x 3x 7
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 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 4209403917600/(1x1260)
LCM = 4209403917600/1260
LCM = 3340796760
Thus, we can understand that the LCM of 211,420,309,305,504 is 3340796760.
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FAQs on LCM of 211, 420, 309, 305, 504
1. What is the LCM of 211, 420, 309, 305, 504?
Answer: LCM of 211, 420, 309, 305, 504 is 3340796760.
2. How to calculate the LCM of 211, 420, 309, 305, 504?
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 211, 420, 309, 305, 504.
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}.