LCM of 861, 214, 979, 882, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 214, 979, 882, 987 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 861, 214, 979, 882, 987. So, keep reading to learn more.
Given numbers are 861,214,979,882,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,214,979,882,987 is 178039665342.
Find LCM of 861,214,979,882,987 with Prime Factorization
| 2 | 861, 214, 979, 882, 987 |
| 3 | 861, 107, 979, 441, 987 |
| 7 | 287, 107, 979, 147, 329 |
| 41, 107, 979, 21, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 41 x 107 x 979 x 21 x 47 = 178039665342
Therefore, the lowest common multiple of 861,214,979,882,987 is 178039665342.
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.
861 x 214 x 979 x 882 x 987 = 157030984831644
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
214 : 1, 2, 107, 214
979 : 1, 11, 89, 979
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,214,979,882,987, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
214:2x 107
979:11x 89
882:2x 3x 3x 7x 7
987:3x 7x 47
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 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 157030984831644/(1x882)
LCM = 157030984831644/882
LCM = 178039665342
Thus, we can understand that the LCM of 861,214,979,882,987 is 178039665342.
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FAQs on LCM of 861, 214, 979, 882, 987
1. What is the LCM of 861, 214, 979, 882, 987?
Answer: LCM of 861, 214, 979, 882, 987 is 178039665342.
2. How to calculate the LCM of 861, 214, 979, 882, 987?
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 861, 214, 979, 882, 987.
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}.