LCM of 198, 600, 512, 725
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 600, 512, 725 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 198, 600, 512, 725. So, keep reading to learn more.
Given numbers are 198,600,512,725
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,600,512,725 is 36748800.
Find LCM of 198,600,512,725 with Prime Factorization
| 2 | 198, 600, 512, 725 |
| 2 | 99, 300, 256, 725 |
| 2 | 99, 150, 128, 725 |
| 3 | 99, 75, 64, 725 |
| 5 | 33, 25, 64, 725 |
| 5 | 33, 5, 64, 145 |
| 33, 1, 64, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 33 x 1 x 64 x 29 = 36748800
Therefore, the lowest common multiple of 198,600,512,725 is 36748800.
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.
198 x 600 x 512 x 725 = 44098560000
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
725 : 1, 5, 25, 29, 145, 725
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,600,512,725, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
600:2x 2x 2x 3x 5x 5
512:2x 2x 2x 2x 2x 2x 2x 2x 2
725:5x 5x 29
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 5 = 1200
Therefore, the value for common factors is 1200.
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 = 44098560000/(1x1200)
LCM = 44098560000/1200
LCM = 36748800
Thus, we can understand that the LCM of 198,600,512,725 is 36748800.
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FAQs on LCM of 198, 600, 512, 725
1. What is the LCM of 198, 600, 512, 725?
Answer: LCM of 198, 600, 512, 725 is 36748800.
2. How to calculate the LCM of 198, 600, 512, 725?
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 198, 600, 512, 725.
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}.