LCM of 561, 568, 303, 814, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 568, 303, 814, 120 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, 568, 303, 814, 120. So, keep reading to learn more.
Given numbers are 561,568,303,814,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,568,303,814,120 is 5953937880.
Find LCM of 561,568,303,814,120 with Prime Factorization
| 2 | 561, 568, 303, 814, 120 |
| 2 | 561, 284, 303, 407, 60 |
| 2 | 561, 142, 303, 407, 30 |
| 3 | 561, 71, 303, 407, 15 |
| 11 | 187, 71, 101, 407, 5 |
| 17, 71, 101, 37, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 17 x 71 x 101 x 37 x 5 = 5953937880
Therefore, the lowest common multiple of 561,568,303,814,120 is 5953937880.
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 568 x 303 x 814 x 120 = 9431037601920
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
568 : 1, 2, 4, 8, 71, 142, 284, 568
303 : 1, 3, 101, 303
814 : 1, 2, 11, 22, 37, 74, 407, 814
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,568,303,814,120, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
568:2x 2x 2x 71
303:3x 101
814:2x 11x 37
120:2x 2x 2x 3x 5
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 2x 2x 3x 3x 11 = 1584
Therefore, the value for common factors is 1584.
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 = 9431037601920/(1x1584)
LCM = 9431037601920/1584
LCM = 5953937880
Thus, we can understand that the LCM of 561,568,303,814,120 is 5953937880.
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FAQs on LCM of 561, 568, 303, 814, 120
1. What is the LCM of 561, 568, 303, 814, 120?
Answer: LCM of 561, 568, 303, 814, 120 is 5953937880.
2. How to calculate the LCM of 561, 568, 303, 814, 120?
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, 568, 303, 814, 120.
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}.