LCM of 663, 135, 517, 138, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 663, 135, 517, 138, 882 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, 135, 517, 138, 882. So, keep reading to learn more.
Given numbers are 663,135,517,138,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,135,517,138,882 is 34767262530.
Find LCM of 663,135,517,138,882 with Prime Factorization
| 2 | 663, 135, 517, 138, 882 |
| 3 | 663, 135, 517, 69, 441 |
| 3 | 221, 45, 517, 23, 147 |
| 221, 15, 517, 23, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 221 x 15 x 517 x 23 x 49 = 34767262530
Therefore, the lowest common multiple of 663,135,517,138,882 is 34767262530.
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 135 x 517 x 138 x 882 = 5632296529860
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
135 : 1, 3, 5, 9, 15, 27, 45, 135
517 : 1, 11, 47, 517
138 : 1, 2, 3, 6, 23, 46, 69, 138
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,135,517,138,882, is 1.
Now, the common factors can be found like this.
663:3x 13x 17
135:3x 3x 3x 5
517:11x 47
138:2x 3x 23
882:2x 3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 5632296529860/(1x162)
LCM = 5632296529860/162
LCM = 34767262530
Thus, we can understand that the LCM of 663,135,517,138,882 is 34767262530.
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FAQs on LCM of 663, 135, 517, 138, 882
1. What is the LCM of 663, 135, 517, 138, 882?
Answer: LCM of 663, 135, 517, 138, 882 is 34767262530.
2. How to calculate the LCM of 663, 135, 517, 138, 882?
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, 135, 517, 138, 882.
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}.