LCM of 459, 441, 207, 597, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 441, 207, 597, 345 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 459, 441, 207, 597, 345. So, keep reading to learn more.
Given numbers are 459,441,207,597,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,441,207,597,345 is 514706535.
Find LCM of 459,441,207,597,345 with Prime Factorization
| 3 | 459, 441, 207, 597, 345 |
| 3 | 153, 147, 69, 199, 115 |
| 23 | 51, 49, 23, 199, 115 |
| 51, 49, 1, 199, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 23 x 51 x 49 x 1 x 199 x 5 = 514706535
Therefore, the lowest common multiple of 459,441,207,597,345 is 514706535.
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.
459 x 441 x 207 x 597 x 345 = 8630084472345
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
207 : 1, 3, 9, 23, 69, 207
597 : 1, 3, 199, 597
345 : 1, 3, 5, 15, 23, 69, 115, 345
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,441,207,597,345, is 3.
Now, the common factors can be found like this.
459:3x 3x 3x 17
441:3x 3x 7x 7
207:3x 3x 23
597:3x 199
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 23 = 5589
Therefore, the value for common factors is 5589.
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 = 8630084472345/(3x5589)
LCM = 8630084472345/16767
LCM = 514706535
Thus, we can understand that the LCM of 459,441,207,597,345 is 514706535.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 459, 441, 207, 597, 345
1. What is the LCM of 459, 441, 207, 597, 345?
Answer: LCM of 459, 441, 207, 597, 345 is 514706535.
2. How to calculate the LCM of 459, 441, 207, 597, 345?
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 459, 441, 207, 597, 345.
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}.