LCM of 983, 268, 559, 603, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 268, 559, 603, 720 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 983, 268, 559, 603, 720. So, keep reading to learn more.
Given numbers are 983,268,559,603,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,268,559,603,720 is 26507735280.
Find LCM of 983,268,559,603,720 with Prime Factorization
| 2 | 983, 268, 559, 603, 720 |
| 2 | 983, 134, 559, 603, 360 |
| 3 | 983, 67, 559, 603, 180 |
| 3 | 983, 67, 559, 201, 60 |
| 67 | 983, 67, 559, 67, 20 |
| 983, 1, 559, 1, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 67 x 983 x 1 x 559 x 1 x 20 = 26507735280
Therefore, the lowest common multiple of 983,268,559,603,720 is 26507735280.
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.
983 x 268 x 559 x 603 x 720 = 63936657495360
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.
983 : 1, 983
268 : 1, 2, 4, 67, 134, 268
559 : 1, 13, 43, 559
603 : 1, 3, 9, 67, 201, 603
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,268,559,603,720, is 1.
Now, the common factors can be found like this.
983:983
268:2x 2x 67
559:13x 43
603:3x 3x 67
720:2x 2x 2x 2x 3x 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 3x 3x 67 = 2412
Therefore, the value for common factors is 2412.
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 = 63936657495360/(1x2412)
LCM = 63936657495360/2412
LCM = 26507735280
Thus, we can understand that the LCM of 983,268,559,603,720 is 26507735280.
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FAQs on LCM of 983, 268, 559, 603, 720
1. What is the LCM of 983, 268, 559, 603, 720?
Answer: LCM of 983, 268, 559, 603, 720 is 26507735280.
2. How to calculate the LCM of 983, 268, 559, 603, 720?
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 983, 268, 559, 603, 720.
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}.