LCM of 398, 551, 820, 400, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 551, 820, 400, 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 398, 551, 820, 400, 200. So, keep reading to learn more.
Given numbers are 398,551,820,400,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,551,820,400,200 is 1798243600.
Find LCM of 398,551,820,400,200 with Prime Factorization
| 2 | 398, 551, 820, 400, 200 |
| 2 | 199, 551, 410, 200, 100 |
| 2 | 199, 551, 205, 50, 100 |
| 5 | 199, 551, 205, 25, 50 |
| 5 | 199, 551, 41, 5, 10 |
| 199, 551, 41, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 199 x 551 x 41 x 1 x 2 = 1798243600
Therefore, the lowest common multiple of 398,551,820,400,200 is 1798243600.
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.
398 x 551 x 820 x 400 x 200 = 14385948800000
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.
398 : 1, 2, 199, 398
551 : 1, 19, 29, 551
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
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 398,551,820,400,200, is 1.
Now, the common factors can be found like this.
398:2x 199
551:19x 29
820:2x 2x 5x 41
400:2x 2x 2x 2x 5x 5
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 2x 5x 5x 5 = 8000
Therefore, the value for common factors is 8000.
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 = 14385948800000/(1x8000)
LCM = 14385948800000/8000
LCM = 1798243600
Thus, we can understand that the LCM of 398,551,820,400,200 is 1798243600.
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FAQs on LCM of 398, 551, 820, 400, 200
1. What is the LCM of 398, 551, 820, 400, 200?
Answer: LCM of 398, 551, 820, 400, 200 is 1798243600.
2. How to calculate the LCM of 398, 551, 820, 400, 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 398, 551, 820, 400, 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}.