LCM of 487, 192, 304, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 192, 304, 252 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 487, 192, 304, 252. So, keep reading to learn more.
Given numbers are 487,192,304,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,192,304,252 is 37308096.
Find LCM of 487,192,304,252 with Prime Factorization
| 2 | 487, 192, 304, 252 |
| 2 | 487, 96, 152, 126 |
| 2 | 487, 48, 76, 63 |
| 2 | 487, 24, 38, 63 |
| 3 | 487, 12, 19, 63 |
| 487, 4, 19, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 487 x 4 x 19 x 21 = 37308096
Therefore, the lowest common multiple of 487,192,304,252 is 37308096.
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.
487 x 192 x 304 x 252 = 7163154432
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.
487 : 1, 487
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,192,304,252, is 1.
Now, the common factors can be found like this.
487:487
192:2x 2x 2x 2x 2x 2x 3
304:2x 2x 2x 2x 19
252:2x 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 3 = 192
Therefore, the value for common factors is 192.
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 = 7163154432/(1x192)
LCM = 7163154432/192
LCM = 37308096
Thus, we can understand that the LCM of 487,192,304,252 is 37308096.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 487, 192, 304, 252
1. What is the LCM of 487, 192, 304, 252?
Answer: LCM of 487, 192, 304, 252 is 37308096.
2. How to calculate the LCM of 487, 192, 304, 252?
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 487, 192, 304, 252.
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}.