LCM of 854, 818, 959, 645, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 818, 959, 645, 966 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 854, 818, 959, 645, 966. So, keep reading to learn more.
Given numbers are 854,818,959,645,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,818,959,645,966 is 709887119970.
Find LCM of 854,818,959,645,966 with Prime Factorization
| 2 | 854, 818, 959, 645, 966 |
| 3 | 427, 409, 959, 645, 483 |
| 7 | 427, 409, 959, 215, 161 |
| 61, 409, 137, 215, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 61 x 409 x 137 x 215 x 23 = 709887119970
Therefore, the lowest common multiple of 854,818,959,645,966 is 709887119970.
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.
854 x 818 x 959 x 645 x 966 = 417413626542360
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
818 : 1, 2, 409, 818
959 : 1, 7, 137, 959
645 : 1, 3, 5, 15, 43, 129, 215, 645
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,818,959,645,966, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
818:2x 409
959:7x 137
645:3x 5x 43
966:2x 3x 7x 23
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 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 417413626542360/(1x588)
LCM = 417413626542360/588
LCM = 709887119970
Thus, we can understand that the LCM of 854,818,959,645,966 is 709887119970.
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FAQs on LCM of 854, 818, 959, 645, 966
1. What is the LCM of 854, 818, 959, 645, 966?
Answer: LCM of 854, 818, 959, 645, 966 is 709887119970.
2. How to calculate the LCM of 854, 818, 959, 645, 966?
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 854, 818, 959, 645, 966.
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}.