LCM of 800, 257, 240, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 257, 240, 504 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 800, 257, 240, 504. So, keep reading to learn more.
Given numbers are 800,257,240,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,257,240,504 is 12952800.
Find LCM of 800,257,240,504 with Prime Factorization
| 2 | 800, 257, 240, 504 |
| 2 | 400, 257, 120, 252 |
| 2 | 200, 257, 60, 126 |
| 2 | 100, 257, 30, 63 |
| 3 | 50, 257, 15, 63 |
| 5 | 50, 257, 5, 21 |
| 10, 257, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 10 x 257 x 1 x 21 = 12952800
Therefore, the lowest common multiple of 800,257,240,504 is 12952800.
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.
800 x 257 x 240 x 504 = 24869376000
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.
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
257 : 1, 257
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,257,240,504, is 1.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
257:257
240:2x 2x 2x 2x 3x 5
504:2x 2x 2x 3x 3x 7
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 2x 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 24869376000/(1x1920)
LCM = 24869376000/1920
LCM = 12952800
Thus, we can understand that the LCM of 800,257,240,504 is 12952800.
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FAQs on LCM of 800, 257, 240, 504
1. What is the LCM of 800, 257, 240, 504?
Answer: LCM of 800, 257, 240, 504 is 12952800.
2. How to calculate the LCM of 800, 257, 240, 504?
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 800, 257, 240, 504.
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}.