LCM of 576, 400, 172, 381, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 576, 400, 172, 381, 488 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, 400, 172, 381, 488. So, keep reading to learn more.
Given numbers are 576,400,172,381,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,400,172,381,488 is 4796942400.
Find LCM of 576,400,172,381,488 with Prime Factorization
| 2 | 576, 400, 172, 381, 488 |
| 2 | 288, 200, 86, 381, 244 |
| 2 | 144, 100, 43, 381, 122 |
| 2 | 72, 50, 43, 381, 61 |
| 3 | 36, 25, 43, 381, 61 |
| 12, 25, 43, 127, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 12 x 25 x 43 x 127 x 61 = 4796942400
Therefore, the lowest common multiple of 576,400,172,381,488 is 4796942400.
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 400 x 172 x 381 x 488 = 7368103526400
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
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
172 : 1, 2, 4, 43, 86, 172
381 : 1, 3, 127, 381
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,400,172,381,488, is 1.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
400:2x 2x 2x 2x 5x 5
172:2x 2x 43
381:3x 127
488:2x 2x 2x 61
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 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 7368103526400/(1x1536)
LCM = 7368103526400/1536
LCM = 4796942400
Thus, we can understand that the LCM of 576,400,172,381,488 is 4796942400.
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FAQs on LCM of 576, 400, 172, 381, 488
1. What is the LCM of 576, 400, 172, 381, 488?
Answer: LCM of 576, 400, 172, 381, 488 is 4796942400.
2. How to calculate the LCM of 576, 400, 172, 381, 488?
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, 400, 172, 381, 488.
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}.