LCM of 208, 442, 225, 825, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 208, 442, 225, 825, 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 208, 442, 225, 825, 465. So, keep reading to learn more.
Given numbers are 208,442,225,825,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 208,442,225,825,465 is 271299600.
Find LCM of 208,442,225,825,465 with Prime Factorization
| 2 | 208, 442, 225, 825, 465 |
| 3 | 104, 221, 225, 825, 465 |
| 5 | 104, 221, 75, 275, 155 |
| 5 | 104, 221, 15, 55, 31 |
| 13 | 104, 221, 3, 11, 31 |
| 8, 17, 3, 11, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 8 x 17 x 3 x 11 x 31 = 271299600
Therefore, the lowest common multiple of 208,442,225,825,465 is 271299600.
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.
208 x 442 x 225 x 825 x 465 = 7935513300000
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.
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
442 : 1, 2, 13, 17, 26, 34, 221, 442
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
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 208,442,225,825,465, is 1.
Now, the common factors can be found like this.
208:2x 2x 2x 2x 13
442:2x 13x 17
225:3x 3x 5x 5
825:3x 5x 5x 11
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 3x 3x 5x 5x 5x 13 = 29250
Therefore, the value for common factors is 29250.
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 = 7935513300000/(1x29250)
LCM = 7935513300000/29250
LCM = 271299600
Thus, we can understand that the LCM of 208,442,225,825,465 is 271299600.
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FAQs on LCM of 208, 442, 225, 825, 465
1. What is the LCM of 208, 442, 225, 825, 465?
Answer: LCM of 208, 442, 225, 825, 465 is 271299600.
2. How to calculate the LCM of 208, 442, 225, 825, 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 208, 442, 225, 825, 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}.