LCM of 345, 561, 517, 563, 643
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 561, 517, 563, 643 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 345, 561, 517, 563, 643. So, keep reading to learn more.
Given numbers are 345,561,517,563,643
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,561,517,563,643 is 1097685499845.
Find LCM of 345,561,517,563,643 with Prime Factorization
| 3 | 345, 561, 517, 563, 643 |
| 11 | 115, 187, 517, 563, 643 |
| 115, 17, 47, 563, 643 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 115 x 17 x 47 x 563 x 643 = 1097685499845
Therefore, the lowest common multiple of 345,561,517,563,643 is 1097685499845.
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.
345 x 561 x 517 x 563 x 643 = 36223621494885
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
561 : 1, 3, 11, 17, 33, 51, 187, 561
517 : 1, 11, 47, 517
563 : 1, 563
643 : 1, 643
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,561,517,563,643, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
561:3x 11x 17
517:11x 47
563:563
643:643
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 36223621494885/(1x33)
LCM = 36223621494885/33
LCM = 1097685499845
Thus, we can understand that the LCM of 345,561,517,563,643 is 1097685499845.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 345, 561, 517, 563, 643
1. What is the LCM of 345, 561, 517, 563, 643?
Answer: LCM of 345, 561, 517, 563, 643 is 1097685499845.
2. How to calculate the LCM of 345, 561, 517, 563, 643?
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 345, 561, 517, 563, 643.
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}.