LCM of 887, 687, 546, 505, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 687, 546, 505, 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 887, 687, 546, 505, 780. So, keep reading to learn more.
Given numbers are 887,687,546,505,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,687,546,505,780 is 112014209580.
Find LCM of 887,687,546,505,780 with Prime Factorization
| 2 | 887, 687, 546, 505, 780 |
| 3 | 887, 687, 273, 505, 390 |
| 5 | 887, 229, 91, 505, 130 |
| 13 | 887, 229, 91, 101, 26 |
| 887, 229, 7, 101, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 887 x 229 x 7 x 101 x 2 = 112014209580
Therefore, the lowest common multiple of 887,687,546,505,780 is 112014209580.
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.
887 x 687 x 546 x 505 x 780 = 131056625208600
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.
887 : 1, 887
687 : 1, 3, 229, 687
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
505 : 1, 5, 101, 505
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,687,546,505,780, is 1.
Now, the common factors can be found like this.
887:887
687:3x 229
546:2x 3x 7x 13
505:5x 101
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 3x 3x 5x 13 = 1170
Therefore, the value for common factors is 1170.
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 = 131056625208600/(1x1170)
LCM = 131056625208600/1170
LCM = 112014209580
Thus, we can understand that the LCM of 887,687,546,505,780 is 112014209580.
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FAQs on LCM of 887, 687, 546, 505, 780
1. What is the LCM of 887, 687, 546, 505, 780?
Answer: LCM of 887, 687, 546, 505, 780 is 112014209580.
2. How to calculate the LCM of 887, 687, 546, 505, 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 887, 687, 546, 505, 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}.