LCM of 816, 145, 927, 185, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 145, 927, 185, 561 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 816, 145, 927, 185, 561. So, keep reading to learn more.
Given numbers are 816,145,927,185,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,145,927,185,561 is 14880278160.
Find LCM of 816,145,927,185,561 with Prime Factorization
| 3 | 816, 145, 927, 185, 561 |
| 5 | 272, 145, 309, 185, 187 |
| 17 | 272, 29, 309, 37, 187 |
| 16, 29, 309, 37, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 16 x 29 x 309 x 37 x 11 = 14880278160
Therefore, the lowest common multiple of 816,145,927,185,561 is 14880278160.
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.
816 x 145 x 927 x 185 x 561 = 11383412792400
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
145 : 1, 5, 29, 145
927 : 1, 3, 9, 103, 309, 927
185 : 1, 5, 37, 185
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,145,927,185,561, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
145:5x 29
927:3x 3x 103
185:5x 37
561:3x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 17 = 765
Therefore, the value for common factors is 765.
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 = 11383412792400/(1x765)
LCM = 11383412792400/765
LCM = 14880278160
Thus, we can understand that the LCM of 816,145,927,185,561 is 14880278160.
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FAQs on LCM of 816, 145, 927, 185, 561
1. What is the LCM of 816, 145, 927, 185, 561?
Answer: LCM of 816, 145, 927, 185, 561 is 14880278160.
2. How to calculate the LCM of 816, 145, 927, 185, 561?
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 816, 145, 927, 185, 561.
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}.