LCM of 538, 360, 525, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 360, 525, 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 538, 360, 525, 200. So, keep reading to learn more.
Given numbers are 538,360,525,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,360,525,200 is 3389400.
Find LCM of 538,360,525,200 with Prime Factorization
| 2 | 538, 360, 525, 200 |
| 2 | 269, 180, 525, 100 |
| 2 | 269, 90, 525, 50 |
| 3 | 269, 45, 525, 25 |
| 5 | 269, 15, 175, 25 |
| 5 | 269, 3, 35, 5 |
| 269, 3, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 269 x 3 x 7 x 1 = 3389400
Therefore, the lowest common multiple of 538,360,525,200 is 3389400.
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.
538 x 360 x 525 x 200 = 20336400000
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.
538 : 1, 2, 269, 538
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
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 538,360,525,200, is 1.
Now, the common factors can be found like this.
538:2x 269
360:2x 2x 2x 3x 3x 5
525:3x 5x 5x 7
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 3x 5x 5x 5 = 6000
Therefore, the value for common factors is 6000.
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 = 20336400000/(1x6000)
LCM = 20336400000/6000
LCM = 3389400
Thus, we can understand that the LCM of 538,360,525,200 is 3389400.
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FAQs on LCM of 538, 360, 525, 200
1. What is the LCM of 538, 360, 525, 200?
Answer: LCM of 538, 360, 525, 200 is 3389400.
2. How to calculate the LCM of 538, 360, 525, 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 538, 360, 525, 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}.