LCM of 563, 723, 693, 803, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 723, 693, 803, 609 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 563, 723, 693, 803, 609. So, keep reading to learn more.
Given numbers are 563,723,693,803,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,723,693,803,609 is 199057951323.
Find LCM of 563,723,693,803,609 with Prime Factorization
| 3 | 563, 723, 693, 803, 609 |
| 7 | 563, 241, 231, 803, 203 |
| 11 | 563, 241, 33, 803, 29 |
| 563, 241, 3, 73, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 563 x 241 x 3 x 73 x 29 = 199057951323
Therefore, the lowest common multiple of 563,723,693,803,609 is 199057951323.
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.
563 x 723 x 693 x 803 x 609 = 137947160266839
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.
563 : 1, 563
723 : 1, 3, 241, 723
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
803 : 1, 11, 73, 803
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,723,693,803,609, is 1.
Now, the common factors can be found like this.
563:563
723:3x 241
693:3x 3x 7x 11
803:11x 73
609:3x 7x 29
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 7x 11 = 693
Therefore, the value for common factors is 693.
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 = 137947160266839/(1x693)
LCM = 137947160266839/693
LCM = 199057951323
Thus, we can understand that the LCM of 563,723,693,803,609 is 199057951323.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 563, 723, 693, 803, 609
1. What is the LCM of 563, 723, 693, 803, 609?
Answer: LCM of 563, 723, 693, 803, 609 is 199057951323.
2. How to calculate the LCM of 563, 723, 693, 803, 609?
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 563, 723, 693, 803, 609.
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}.