LCM of 663, 822, 649, 723, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 663, 822, 649, 723, 747 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 663, 822, 649, 723, 747. So, keep reading to learn more.
Given numbers are 663,822,649,723,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,822,649,723,747 is 7074979367742.
Find LCM of 663,822,649,723,747 with Prime Factorization
| 3 | 663, 822, 649, 723, 747 |
| 221, 274, 649, 241, 249 |
Multiply the prime numbers at the bottom and the left side.
3 x 221 x 274 x 649 x 241 x 249 = 7074979367742
Therefore, the lowest common multiple of 663,822,649,723,747 is 7074979367742.
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.
663 x 822 x 649 x 723 x 747 = 191024442929034
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.
663 : 1, 3, 13, 17, 39, 51, 221, 663
822 : 1, 2, 3, 6, 137, 274, 411, 822
649 : 1, 11, 59, 649
723 : 1, 3, 241, 723
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,822,649,723,747, is 1.
Now, the common factors can be found like this.
663:3x 13x 17
822:2x 3x 137
649:11x 59
723:3x 241
747:3x 3x 83
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 3 = 27
Therefore, the value for common factors is 27.
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 = 191024442929034/(1x27)
LCM = 191024442929034/27
LCM = 7074979367742
Thus, we can understand that the LCM of 663,822,649,723,747 is 7074979367742.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 663, 822, 649, 723, 747
1. What is the LCM of 663, 822, 649, 723, 747?
Answer: LCM of 663, 822, 649, 723, 747 is 7074979367742.
2. How to calculate the LCM of 663, 822, 649, 723, 747?
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 663, 822, 649, 723, 747.
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}.