LCM of 887, 721, 309, 910, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 721, 309, 910, 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, 721, 309, 910, 780. So, keep reading to learn more.
Given numbers are 887,721,309,910,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,721,309,910,780 is 498831060.
Find LCM of 887,721,309,910,780 with Prime Factorization
| 2 | 887, 721, 309, 910, 780 |
| 3 | 887, 721, 309, 455, 390 |
| 5 | 887, 721, 103, 455, 130 |
| 7 | 887, 721, 103, 91, 26 |
| 13 | 887, 103, 103, 13, 26 |
| 103 | 887, 103, 103, 1, 2 |
| 887, 1, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 103 x 887 x 1 x 1 x 1 x 2 = 498831060
Therefore, the lowest common multiple of 887,721,309,910,780 is 498831060.
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 721 x 309 x 910 x 780 = 140266305761400
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
721 : 1, 7, 103, 721
309 : 1, 3, 103, 309
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
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 887,721,309,910,780, is 1.
Now, the common factors can be found like this.
887:887
721:7x 103
309:3x 103
910:2x 5x 7x 13
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 5x 7x 13x 103 = 281190
Therefore, the value for common factors is 281190.
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 = 140266305761400/(1x281190)
LCM = 140266305761400/281190
LCM = 498831060
Thus, we can understand that the LCM of 887,721,309,910,780 is 498831060.
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FAQs on LCM of 887, 721, 309, 910, 780
1. What is the LCM of 887, 721, 309, 910, 780?
Answer: LCM of 887, 721, 309, 910, 780 is 498831060.
2. How to calculate the LCM of 887, 721, 309, 910, 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, 721, 309, 910, 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}.