LCM of 741, 858, 816, 876, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 858, 816, 876, 159 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 741, 858, 816, 876, 159. So, keep reading to learn more.
Given numbers are 741,858,816,876,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,858,816,876,159 is 8577851568.
Find LCM of 741,858,816,876,159 with Prime Factorization
| 2 | 741, 858, 816, 876, 159 |
| 2 | 741, 429, 408, 438, 159 |
| 3 | 741, 429, 204, 219, 159 |
| 13 | 247, 143, 68, 73, 53 |
| 19, 11, 68, 73, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 11 x 68 x 73 x 53 = 8577851568
Therefore, the lowest common multiple of 741,858,816,876,159 is 8577851568.
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.
741 x 858 x 816 x 876 x 159 = 72259821608832
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
159 : 1, 3, 53, 159
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,858,816,876,159, is 3.
Now, the common factors can be found like this.
741:3x 13x 19
858:2x 3x 11x 13
816:2x 2x 2x 2x 3x 17
876:2x 2x 3x 73
159:3x 53
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 3x 13 = 2808
Therefore, the value for common factors is 2808.
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 = 72259821608832/(3x2808)
LCM = 72259821608832/8424
LCM = 8577851568
Thus, we can understand that the LCM of 741,858,816,876,159 is 8577851568.
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FAQs on LCM of 741, 858, 816, 876, 159
1. What is the LCM of 741, 858, 816, 876, 159?
Answer: LCM of 741, 858, 816, 876, 159 is 8577851568.
2. How to calculate the LCM of 741, 858, 816, 876, 159?
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 741, 858, 816, 876, 159.
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}.