LCM of 988, 720, 646, 566, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 720, 646, 566, 780 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 988, 720, 646, 566, 780. So, keep reading to learn more.
Given numbers are 988,720,646,566,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,720,646,566,780 is 855588240.
Find LCM of 988,720,646,566,780 with Prime Factorization
| 2 | 988, 720, 646, 566, 780 |
| 2 | 494, 360, 323, 283, 390 |
| 3 | 247, 180, 323, 283, 195 |
| 5 | 247, 60, 323, 283, 65 |
| 13 | 247, 12, 323, 283, 13 |
| 19 | 19, 12, 323, 283, 1 |
| 1, 12, 17, 283, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 19 x 1 x 12 x 17 x 283 x 1 = 855588240
Therefore, the lowest common multiple of 988,720,646,566,780 is 855588240.
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.
988 x 720 x 646 x 566 x 780 = 202877083468800
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
566 : 1, 2, 283, 566
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,720,646,566,780, is 2.
Now, the common factors can be found like this.
988:2x 2x 13x 19
720:2x 2x 2x 2x 3x 3x 5
646:2x 17x 19
566:2x 283
780:2x 2x 3x 5x 13
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 2x 3x 5x 13x 19 = 118560
Therefore, the value for common factors is 118560.
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 = 202877083468800/(2x118560)
LCM = 202877083468800/237120
LCM = 855588240
Thus, we can understand that the LCM of 988,720,646,566,780 is 855588240.
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FAQs on LCM of 988, 720, 646, 566, 780
1. What is the LCM of 988, 720, 646, 566, 780?
Answer: LCM of 988, 720, 646, 566, 780 is 855588240.
2. How to calculate the LCM of 988, 720, 646, 566, 780?
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 988, 720, 646, 566, 780.
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}.