LCM of 361, 248, 270, 188, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 248, 270, 188, 992 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 361, 248, 270, 188, 992. So, keep reading to learn more.
Given numbers are 361,248,270,188,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,248,270,188,992 is 2272220640.
Find LCM of 361,248,270,188,992 with Prime Factorization
| 2 | 361, 248, 270, 188, 992 |
| 2 | 361, 124, 135, 94, 496 |
| 2 | 361, 62, 135, 47, 248 |
| 31 | 361, 31, 135, 47, 124 |
| 361, 1, 135, 47, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 361 x 1 x 135 x 47 x 4 = 2272220640
Therefore, the lowest common multiple of 361,248,270,188,992 is 2272220640.
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.
361 x 248 x 270 x 188 x 992 = 4508085749760
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.
361 : 1, 19, 361
248 : 1, 2, 4, 8, 31, 62, 124, 248
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
188 : 1, 2, 4, 47, 94, 188
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,248,270,188,992, is 1.
Now, the common factors can be found like this.
361:19x 19
248:2x 2x 2x 31
270:2x 3x 3x 3x 5
188:2x 2x 47
992:2x 2x 2x 2x 2x 31
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 31 = 1984
Therefore, the value for common factors is 1984.
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 = 4508085749760/(1x1984)
LCM = 4508085749760/1984
LCM = 2272220640
Thus, we can understand that the LCM of 361,248,270,188,992 is 2272220640.
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FAQs on LCM of 361, 248, 270, 188, 992
1. What is the LCM of 361, 248, 270, 188, 992?
Answer: LCM of 361, 248, 270, 188, 992 is 2272220640.
2. How to calculate the LCM of 361, 248, 270, 188, 992?
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 361, 248, 270, 188, 992.
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}.