LCM of 828, 914, 416, 242, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 914, 416, 242, 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 828, 914, 416, 242, 200. So, keep reading to learn more.
Given numbers are 828,914,416,242,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,914,416,242,200 is 119043381600.
Find LCM of 828,914,416,242,200 with Prime Factorization
| 2 | 828, 914, 416, 242, 200 |
| 2 | 414, 457, 208, 121, 100 |
| 2 | 207, 457, 104, 121, 50 |
| 207, 457, 52, 121, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 207 x 457 x 52 x 121 x 25 = 119043381600
Therefore, the lowest common multiple of 828,914,416,242,200 is 119043381600.
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.
828 x 914 x 416 x 242 x 200 = 15237552844800
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
914 : 1, 2, 457, 914
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
242 : 1, 2, 11, 22, 121, 242
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,914,416,242,200, is 2.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
914:2x 457
416:2x 2x 2x 2x 2x 13
242:2x 11x 11
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 2x 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 15237552844800/(2x64)
LCM = 15237552844800/128
LCM = 119043381600
Thus, we can understand that the LCM of 828,914,416,242,200 is 119043381600.
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FAQs on LCM of 828, 914, 416, 242, 200
1. What is the LCM of 828, 914, 416, 242, 200?
Answer: LCM of 828, 914, 416, 242, 200 is 119043381600.
2. How to calculate the LCM of 828, 914, 416, 242, 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 828, 914, 416, 242, 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}.