LCM of 165, 289, 759, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 289, 759, 489 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, 759, 489. So, keep reading to learn more.
Given numbers are 165,289,759,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,289,759,489 is 178771065.
Find LCM of 165,289,759,489 with Prime Factorization
| 3 | 165, 289, 759, 489 |
| 11 | 55, 289, 253, 163 |
| 5, 289, 23, 163 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 5 x 289 x 23 x 163 = 178771065
Therefore, the lowest common multiple of 165,289,759,489 is 178771065.
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 759 x 489 = 17698335435
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,289,759,489, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
289:17x 17
759:3x 11x 23
489:3x 163
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 11 = 99
Therefore, the value for common factors is 99.
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 = 17698335435/(1x99)
LCM = 17698335435/99
LCM = 178771065
Thus, we can understand that the LCM of 165,289,759,489 is 178771065.
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FAQs on LCM of 165, 289, 759, 489
1. What is the LCM of 165, 289, 759, 489?
Answer: LCM of 165, 289, 759, 489 is 178771065.
2. How to calculate the LCM of 165, 289, 759, 489?
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, 759, 489.
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}.