LCM of 882, 270, 886, 412, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 270, 886, 412, 465 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 882, 270, 886, 412, 465. So, keep reading to learn more.
Given numbers are 882,270,886,412,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,270,886,412,465 is 37427643540.
Find LCM of 882,270,886,412,465 with Prime Factorization
| 2 | 882, 270, 886, 412, 465 |
| 3 | 441, 135, 443, 206, 465 |
| 3 | 147, 45, 443, 206, 155 |
| 5 | 49, 15, 443, 206, 155 |
| 49, 3, 443, 206, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 49 x 3 x 443 x 206 x 31 = 37427643540
Therefore, the lowest common multiple of 882,270,886,412,465 is 37427643540.
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.
882 x 270 x 886 x 412 x 465 = 40421855023200
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
886 : 1, 2, 443, 886
412 : 1, 2, 4, 103, 206, 412
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,270,886,412,465, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
270:2x 3x 3x 3x 5
886:2x 443
412:2x 2x 103
465:3x 5x 31
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 2x 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 40421855023200/(1x1080)
LCM = 40421855023200/1080
LCM = 37427643540
Thus, we can understand that the LCM of 882,270,886,412,465 is 37427643540.
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FAQs on LCM of 882, 270, 886, 412, 465
1. What is the LCM of 882, 270, 886, 412, 465?
Answer: LCM of 882, 270, 886, 412, 465 is 37427643540.
2. How to calculate the LCM of 882, 270, 886, 412, 465?
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 882, 270, 886, 412, 465.
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}.