LCM of 165, 289, 680, 843
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 289, 680, 843 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, 289, 680, 843. So, keep reading to learn more.
Given numbers are 165,289,680,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,289,680,843 is 107195880.
Find LCM of 165,289,680,843 with Prime Factorization
| 3 | 165, 289, 680, 843 |
| 5 | 55, 289, 680, 281 |
| 17 | 11, 289, 136, 281 |
| 11, 17, 8, 281 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 11 x 17 x 8 x 281 = 107195880
Therefore, the lowest common multiple of 165,289,680,843 is 107195880.
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 289 x 680 x 843 = 27334949400
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
289 : 1, 17, 289
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,289,680,843, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
289:17x 17
680:2x 2x 2x 5x 17
843:3x 281
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 17 = 255
Therefore, the value for common factors is 255.
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 = 27334949400/(1x255)
LCM = 27334949400/255
LCM = 107195880
Thus, we can understand that the LCM of 165,289,680,843 is 107195880.
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FAQs on LCM of 165, 289, 680, 843
1. What is the LCM of 165, 289, 680, 843?
Answer: LCM of 165, 289, 680, 843 is 107195880.
2. How to calculate the LCM of 165, 289, 680, 843?
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, 289, 680, 843.
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}.