LCM of 561, 105, 960, 941, 340
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 105, 960, 941, 340 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, 105, 960, 941, 340. So, keep reading to learn more.
Given numbers are 561,105,960,941,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,105,960,941,340 is 1182498240.
Find LCM of 561,105,960,941,340 with Prime Factorization
| 2 | 561, 105, 960, 941, 340 |
| 2 | 561, 105, 480, 941, 170 |
| 3 | 561, 105, 240, 941, 85 |
| 5 | 187, 35, 80, 941, 85 |
| 17 | 187, 7, 16, 941, 17 |
| 11, 7, 16, 941, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 11 x 7 x 16 x 941 x 1 = 1182498240
Therefore, the lowest common multiple of 561,105,960,941,340 is 1182498240.
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 105 x 960 x 941 x 340 = 18092223072000
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
105 : 1, 3, 5, 7, 15, 21, 35, 105
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
941 : 1, 941
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,105,960,941,340, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
105:3x 5x 7
960:2x 2x 2x 2x 2x 2x 3x 5
941:941
340:2x 2x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5x 5x 17 = 15300
Therefore, the value for common factors is 15300.
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 = 18092223072000/(1x15300)
LCM = 18092223072000/15300
LCM = 1182498240
Thus, we can understand that the LCM of 561,105,960,941,340 is 1182498240.
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FAQs on LCM of 561, 105, 960, 941, 340
1. What is the LCM of 561, 105, 960, 941, 340?
Answer: LCM of 561, 105, 960, 941, 340 is 1182498240.
2. How to calculate the LCM of 561, 105, 960, 941, 340?
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, 105, 960, 941, 340.
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}.