LCM of 827, 299, 297, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 827, 299, 297, 161 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 827, 299, 297, 161. So, keep reading to learn more.
Given numbers are 827,299,297,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,299,297,161 is 514080567.
Find LCM of 827,299,297,161 with Prime Factorization
| 23 | 827, 299, 297, 161 |
| 827, 13, 297, 7 |
Multiply the prime numbers at the bottom and the left side.
23 x 827 x 13 x 297 x 7 = 514080567
Therefore, the lowest common multiple of 827,299,297,161 is 514080567.
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.
827 x 299 x 297 x 161 = 11823853041
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.
827 : 1, 827
299 : 1, 13, 23, 299
297 : 1, 3, 9, 11, 27, 33, 99, 297
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,299,297,161, is 1.
Now, the common factors can be found like this.
827:827
299:13x 23
297:3x 3x 3x 11
161:7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 11823853041/(1x23)
LCM = 11823853041/23
LCM = 514080567
Thus, we can understand that the LCM of 827,299,297,161 is 514080567.
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FAQs on LCM of 827, 299, 297, 161
1. What is the LCM of 827, 299, 297, 161?
Answer: LCM of 827, 299, 297, 161 is 514080567.
2. How to calculate the LCM of 827, 299, 297, 161?
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 827, 299, 297, 161.
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}.