LCM of 561, 717, 306, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 717, 306, 361 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 561, 717, 306, 361. So, keep reading to learn more.
Given numbers are 561,717,306,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,717,306,361 is 290415114.
Find LCM of 561,717,306,361 with Prime Factorization
| 3 | 561, 717, 306, 361 |
| 17 | 187, 239, 102, 361 |
| 11, 239, 6, 361 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 11 x 239 x 6 x 361 = 290415114
Therefore, the lowest common multiple of 561,717,306,361 is 290415114.
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.
561 x 717 x 306 x 361 = 44433512442
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
717 : 1, 3, 239, 717
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,717,306,361, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
717:3x 239
306:2x 3x 3x 17
361:19x 19
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 17 = 153
Therefore, the value for common factors is 153.
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 = 44433512442/(1x153)
LCM = 44433512442/153
LCM = 290415114
Thus, we can understand that the LCM of 561,717,306,361 is 290415114.
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FAQs on LCM of 561, 717, 306, 361
1. What is the LCM of 561, 717, 306, 361?
Answer: LCM of 561, 717, 306, 361 is 290415114.
2. How to calculate the LCM of 561, 717, 306, 361?
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 561, 717, 306, 361.
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}.