LCM of 359, 231, 561, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 231, 561, 297 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 359, 231, 561, 297. So, keep reading to learn more.
Given numbers are 359,231,561,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,231,561,297 is 12688137.
Find LCM of 359,231,561,297 with Prime Factorization
| 3 | 359, 231, 561, 297 |
| 11 | 359, 77, 187, 99 |
| 359, 7, 17, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 359 x 7 x 17 x 9 = 12688137
Therefore, the lowest common multiple of 359,231,561,297 is 12688137.
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.
359 x 231 x 561 x 297 = 13817381193
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.
359 : 1, 359
231 : 1, 3, 7, 11, 21, 33, 77, 231
561 : 1, 3, 11, 17, 33, 51, 187, 561
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,231,561,297, is 1.
Now, the common factors can be found like this.
359:359
231:3x 7x 11
561:3x 11x 17
297:3x 3x 3x 11
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 11x 11 = 1089
Therefore, the value for common factors is 1089.
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 = 13817381193/(1x1089)
LCM = 13817381193/1089
LCM = 12688137
Thus, we can understand that the LCM of 359,231,561,297 is 12688137.
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FAQs on LCM of 359, 231, 561, 297
1. What is the LCM of 359, 231, 561, 297?
Answer: LCM of 359, 231, 561, 297 is 12688137.
2. How to calculate the LCM of 359, 231, 561, 297?
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 359, 231, 561, 297.
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}.