LCM of 662, 338, 871, 405, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 662, 338, 871, 405, 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 662, 338, 871, 405, 882. So, keep reading to learn more.
Given numbers are 662,338,871,405,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 662,338,871,405,882 is 148754666970.
Find LCM of 662,338,871,405,882 with Prime Factorization
| 2 | 662, 338, 871, 405, 882 |
| 3 | 331, 169, 871, 405, 441 |
| 3 | 331, 169, 871, 135, 147 |
| 13 | 331, 169, 871, 45, 49 |
| 331, 13, 67, 45, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 331 x 13 x 67 x 45 x 49 = 148754666970
Therefore, the lowest common multiple of 662,338,871,405,882 is 148754666970.
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.
662 x 338 x 871 x 405 x 882 = 69617184141960
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.
662 : 1, 2, 331, 662
338 : 1, 2, 13, 26, 169, 338
871 : 1, 13, 67, 871
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
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 662,338,871,405,882, is 1.
Now, the common factors can be found like this.
662:2x 331
338:2x 13x 13
871:13x 67
405:3x 3x 3x 3x 5
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 2x 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 69617184141960/(1x468)
LCM = 69617184141960/468
LCM = 148754666970
Thus, we can understand that the LCM of 662,338,871,405,882 is 148754666970.
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FAQs on LCM of 662, 338, 871, 405, 882
1. What is the LCM of 662, 338, 871, 405, 882?
Answer: LCM of 662, 338, 871, 405, 882 is 148754666970.
2. How to calculate the LCM of 662, 338, 871, 405, 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 662, 338, 871, 405, 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}.