LCM of 200, 904, 988, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 200, 904, 988, 325 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 200, 904, 988, 325. So, keep reading to learn more.
Given numbers are 200,904,988,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,904,988,325 is 5582200.
Find LCM of 200,904,988,325 with Prime Factorization
| 2 | 200, 904, 988, 325 |
| 2 | 100, 452, 494, 325 |
| 2 | 50, 226, 247, 325 |
| 5 | 25, 113, 247, 325 |
| 5 | 5, 113, 247, 65 |
| 13 | 1, 113, 247, 13 |
| 1, 113, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 13 x 1 x 113 x 19 x 1 = 5582200
Therefore, the lowest common multiple of 200,904,988,325 is 5582200.
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.
200 x 904 x 988 x 325 = 58054880000
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.
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
904 : 1, 2, 4, 8, 113, 226, 452, 904
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,904,988,325, is 1.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
904:2x 2x 2x 113
988:2x 2x 13x 19
325:5x 5x 13
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 5x 5x 13 = 10400
Therefore, the value for common factors is 10400.
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 = 58054880000/(1x10400)
LCM = 58054880000/10400
LCM = 5582200
Thus, we can understand that the LCM of 200,904,988,325 is 5582200.
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FAQs on LCM of 200, 904, 988, 325
1. What is the LCM of 200, 904, 988, 325?
Answer: LCM of 200, 904, 988, 325 is 5582200.
2. How to calculate the LCM of 200, 904, 988, 325?
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 200, 904, 988, 325.
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}.