LCM of 609, 960, 899, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 609, 960, 899, 400 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 609, 960, 899, 400. So, keep reading to learn more.
Given numbers are 609,960,899,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,960,899,400 is 30206400.
Find LCM of 609,960,899,400 with Prime Factorization
| 2 | 609, 960, 899, 400 |
| 2 | 609, 480, 899, 200 |
| 2 | 609, 240, 899, 100 |
| 2 | 609, 120, 899, 50 |
| 3 | 609, 60, 899, 25 |
| 5 | 203, 20, 899, 25 |
| 29 | 203, 4, 899, 5 |
| 7, 4, 31, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 29 x 7 x 4 x 31 x 5 = 30206400
Therefore, the lowest common multiple of 609,960,899,400 is 30206400.
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.
609 x 960 x 899 x 400 = 210236544000
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
899 : 1, 29, 31, 899
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,960,899,400, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
960:2x 2x 2x 2x 2x 2x 3x 5
899:29x 31
400:2x 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 29 = 6960
Therefore, the value for common factors is 6960.
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 = 210236544000/(1x6960)
LCM = 210236544000/6960
LCM = 30206400
Thus, we can understand that the LCM of 609,960,899,400 is 30206400.
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FAQs on LCM of 609, 960, 899, 400
1. What is the LCM of 609, 960, 899, 400?
Answer: LCM of 609, 960, 899, 400 is 30206400.
2. How to calculate the LCM of 609, 960, 899, 400?
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 609, 960, 899, 400.
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}.