LCM of 269, 396, 314, 451, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 396, 314, 451, 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 269, 396, 314, 451, 504. So, keep reading to learn more.
Given numbers are 269,396,314,451,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,396,314,451,504 is 9599729832.
Find LCM of 269,396,314,451,504 with Prime Factorization
| 2 | 269, 396, 314, 451, 504 |
| 2 | 269, 198, 157, 451, 252 |
| 3 | 269, 99, 157, 451, 126 |
| 3 | 269, 33, 157, 451, 42 |
| 11 | 269, 11, 157, 451, 14 |
| 269, 1, 157, 41, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 269 x 1 x 157 x 41 x 14 = 9599729832
Therefore, the lowest common multiple of 269,396,314,451,504 is 9599729832.
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.
269 x 396 x 314 x 451 x 504 = 7602986026944
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.
269 : 1, 269
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
314 : 1, 2, 157, 314
451 : 1, 11, 41, 451
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 269,396,314,451,504, is 1.
Now, the common factors can be found like this.
269:269
396:2x 2x 3x 3x 11
314:2x 157
451:11x 41
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 2x 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 7602986026944/(1x792)
LCM = 7602986026944/792
LCM = 9599729832
Thus, we can understand that the LCM of 269,396,314,451,504 is 9599729832.
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FAQs on LCM of 269, 396, 314, 451, 504
1. What is the LCM of 269, 396, 314, 451, 504?
Answer: LCM of 269, 396, 314, 451, 504 is 9599729832.
2. How to calculate the LCM of 269, 396, 314, 451, 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 269, 396, 314, 451, 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}.