LCM of 825, 165, 828, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 165, 828, 200 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 825, 165, 828, 200. So, keep reading to learn more.
Given numbers are 825,165,828,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,165,828,200 is 455400.
Find LCM of 825,165,828,200 with Prime Factorization
| 2 | 825, 165, 828, 200 |
| 2 | 825, 165, 414, 100 |
| 3 | 825, 165, 207, 50 |
| 5 | 275, 55, 69, 50 |
| 5 | 11, 55, 69, 10 |
| 11 | 11, 11, 69, 2 |
| 1, 1, 69, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 11 x 1 x 1 x 69 x 2 = 455400
Therefore, the lowest common multiple of 825,165,828,200 is 455400.
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.
825 x 165 x 828 x 200 = 22542300000
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
165 : 1, 3, 5, 11, 15, 33, 55, 165
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,165,828,200, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
165:3x 5x 11
828:2x 2x 3x 3x 23
200:2x 2x 2x 5x 5
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 5x 5x 5x 11 = 49500
Therefore, the value for common factors is 49500.
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 = 22542300000/(1x49500)
LCM = 22542300000/49500
LCM = 455400
Thus, we can understand that the LCM of 825,165,828,200 is 455400.
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FAQs on LCM of 825, 165, 828, 200
1. What is the LCM of 825, 165, 828, 200?
Answer: LCM of 825, 165, 828, 200 is 455400.
2. How to calculate the LCM of 825, 165, 828, 200?
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 825, 165, 828, 200.
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}.