LCM of 269, 814, 589, 387, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 814, 589, 387, 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, 814, 589, 387, 504. So, keep reading to learn more.
Given numbers are 269,814,589,387,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,814,589,387,504 is 1397529474264.
Find LCM of 269,814,589,387,504 with Prime Factorization
| 2 | 269, 814, 589, 387, 504 |
| 3 | 269, 407, 589, 387, 252 |
| 3 | 269, 407, 589, 129, 84 |
| 269, 407, 589, 43, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 269 x 407 x 589 x 43 x 28 = 1397529474264
Therefore, the lowest common multiple of 269,814,589,387,504 is 1397529474264.
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 814 x 589 x 387 x 504 = 25155530536752
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
589 : 1, 19, 31, 589
387 : 1, 3, 9, 43, 129, 387
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 269,814,589,387,504, is 1.
Now, the common factors can be found like this.
269:269
814:2x 11x 37
589:19x 31
387:3x 3x 43
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 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 25155530536752/(1x18)
LCM = 25155530536752/18
LCM = 1397529474264
Thus, we can understand that the LCM of 269,814,589,387,504 is 1397529474264.
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FAQs on LCM of 269, 814, 589, 387, 504
1. What is the LCM of 269, 814, 589, 387, 504?
Answer: LCM of 269, 814, 589, 387, 504 is 1397529474264.
2. How to calculate the LCM of 269, 814, 589, 387, 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, 814, 589, 387, 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}.