LCM of 576, 871, 460, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 576, 871, 460, 240 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 576, 871, 460, 240. So, keep reading to learn more.
Given numbers are 576,871,460,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,871,460,240 is 57695040.
Find LCM of 576,871,460,240 with Prime Factorization
| 2 | 576, 871, 460, 240 |
| 2 | 288, 871, 230, 120 |
| 2 | 144, 871, 115, 60 |
| 2 | 72, 871, 115, 30 |
| 3 | 36, 871, 115, 15 |
| 5 | 12, 871, 115, 5 |
| 12, 871, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 12 x 871 x 23 x 1 = 57695040
Therefore, the lowest common multiple of 576,871,460,240 is 57695040.
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.
576 x 871 x 460 x 240 = 55387238400
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.
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
871 : 1, 13, 67, 871
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,871,460,240, is 1.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
871:13x 67
460:2x 2x 5x 23
240:2x 2x 2x 2x 3x 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 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 55387238400/(1x960)
LCM = 55387238400/960
LCM = 57695040
Thus, we can understand that the LCM of 576,871,460,240 is 57695040.
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FAQs on LCM of 576, 871, 460, 240
1. What is the LCM of 576, 871, 460, 240?
Answer: LCM of 576, 871, 460, 240 is 57695040.
2. How to calculate the LCM of 576, 871, 460, 240?
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 576, 871, 460, 240.
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}.