LCM of 285, 178, 872, 114, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 285, 178, 872, 114, 576 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 285, 178, 872, 114, 576. So, keep reading to learn more.
Given numbers are 285,178,872,114,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,178,872,114,576 is 530838720.
Find LCM of 285,178,872,114,576 with Prime Factorization
| 2 | 285, 178, 872, 114, 576 |
| 2 | 285, 89, 436, 57, 288 |
| 2 | 285, 89, 218, 57, 144 |
| 3 | 285, 89, 109, 57, 72 |
| 19 | 95, 89, 109, 19, 24 |
| 5, 89, 109, 1, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 5 x 89 x 109 x 1 x 24 = 530838720
Therefore, the lowest common multiple of 285,178,872,114,576 is 530838720.
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.
285 x 178 x 872 x 114 x 576 = 2904749475840
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
178 : 1, 2, 89, 178
872 : 1, 2, 4, 8, 109, 218, 436, 872
114 : 1, 2, 3, 6, 19, 38, 57, 114
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,178,872,114,576, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
178:2x 89
872:2x 2x 2x 109
114:2x 3x 19
576:2x 2x 2x 2x 2x 2x 3x 3
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 3x 3x 19 = 5472
Therefore, the value for common factors is 5472.
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 = 2904749475840/(1x5472)
LCM = 2904749475840/5472
LCM = 530838720
Thus, we can understand that the LCM of 285,178,872,114,576 is 530838720.
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FAQs on LCM of 285, 178, 872, 114, 576
1. What is the LCM of 285, 178, 872, 114, 576?
Answer: LCM of 285, 178, 872, 114, 576 is 530838720.
2. How to calculate the LCM of 285, 178, 872, 114, 576?
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 285, 178, 872, 114, 576.
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}.