LCM of 165, 310, 906, 114, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 310, 906, 114, 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 165, 310, 906, 114, 992. So, keep reading to learn more.
Given numbers are 165,310,906,114,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,310,906,114,992 is 469597920.
Find LCM of 165,310,906,114,992 with Prime Factorization
| 2 | 165, 310, 906, 114, 992 |
| 3 | 165, 155, 453, 57, 496 |
| 5 | 55, 155, 151, 19, 496 |
| 31 | 11, 31, 151, 19, 496 |
| 11, 1, 151, 19, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 11 x 1 x 151 x 19 x 16 = 469597920
Therefore, the lowest common multiple of 165,310,906,114,992 is 469597920.
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.
165 x 310 x 906 x 114 x 992 = 5240712787200
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
310 : 1, 2, 5, 10, 31, 62, 155, 310
906 : 1, 2, 3, 6, 151, 302, 453, 906
114 : 1, 2, 3, 6, 19, 38, 57, 114
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 165,310,906,114,992, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
310:2x 5x 31
906:2x 3x 151
114:2x 3x 19
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 3x 3x 5x 31 = 11160
Therefore, the value for common factors is 11160.
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 = 5240712787200/(1x11160)
LCM = 5240712787200/11160
LCM = 469597920
Thus, we can understand that the LCM of 165,310,906,114,992 is 469597920.
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FAQs on LCM of 165, 310, 906, 114, 992
1. What is the LCM of 165, 310, 906, 114, 992?
Answer: LCM of 165, 310, 906, 114, 992 is 469597920.
2. How to calculate the LCM of 165, 310, 906, 114, 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 165, 310, 906, 114, 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}.