LCM of 816, 737, 590, 165, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 737, 590, 165, 384 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, 737, 590, 165, 384. So, keep reading to learn more.
Given numbers are 816,737,590,165,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,737,590,165,384 is 1419285120.
Find LCM of 816,737,590,165,384 with Prime Factorization
| 2 | 816, 737, 590, 165, 384 |
| 2 | 408, 737, 295, 165, 192 |
| 2 | 204, 737, 295, 165, 96 |
| 2 | 102, 737, 295, 165, 48 |
| 3 | 51, 737, 295, 165, 24 |
| 5 | 17, 737, 295, 55, 8 |
| 11 | 17, 737, 59, 11, 8 |
| 17, 67, 59, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 11 x 17 x 67 x 59 x 1 x 8 = 1419285120
Therefore, the lowest common multiple of 816,737,590,165,384 is 1419285120.
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 737 x 590 x 165 x 384 = 22481476300800
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
737 : 1, 11, 67, 737
590 : 1, 2, 5, 10, 59, 118, 295, 590
165 : 1, 3, 5, 11, 15, 33, 55, 165
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,737,590,165,384, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
737:11x 67
590:2x 5x 59
165:3x 5x 11
384:2x 2x 2x 2x 2x 2x 2x 3
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 3x 3x 5x 11 = 15840
Therefore, the value for common factors is 15840.
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 = 22481476300800/(1x15840)
LCM = 22481476300800/15840
LCM = 1419285120
Thus, we can understand that the LCM of 816,737,590,165,384 is 1419285120.
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FAQs on LCM of 816, 737, 590, 165, 384
1. What is the LCM of 816, 737, 590, 165, 384?
Answer: LCM of 816, 737, 590, 165, 384 is 1419285120.
2. How to calculate the LCM of 816, 737, 590, 165, 384?
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, 737, 590, 165, 384.
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}.