LCM of 663, 227, 715, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 663, 227, 715, 681 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, 227, 715, 681. So, keep reading to learn more.
Given numbers are 663,227,715,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,227,715,681 is 8277555.
Find LCM of 663,227,715,681 with Prime Factorization
| 3 | 663, 227, 715, 681 |
| 13 | 221, 227, 715, 227 |
| 227 | 17, 227, 55, 227 |
| 17, 1, 55, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 227 x 17 x 1 x 55 x 1 = 8277555
Therefore, the lowest common multiple of 663,227,715,681 is 8277555.
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 227 x 715 x 681 = 73281194415
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
227 : 1, 227
715 : 1, 5, 11, 13, 55, 65, 143, 715
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,227,715,681, is 1.
Now, the common factors can be found like this.
663:3x 13x 17
227:227
715:5x 11x 13
681:3x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 227 = 8853
Therefore, the value for common factors is 8853.
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 = 73281194415/(1x8853)
LCM = 73281194415/8853
LCM = 8277555
Thus, we can understand that the LCM of 663,227,715,681 is 8277555.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 663, 227, 715, 681
1. What is the LCM of 663, 227, 715, 681?
Answer: LCM of 663, 227, 715, 681 is 8277555.
2. How to calculate the LCM of 663, 227, 715, 681?
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, 227, 715, 681.
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}.