LCM of 861, 994, 659, 844, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 994, 659, 844, 462 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, 994, 659, 844, 462. So, keep reading to learn more.
Given numbers are 861,994,659,844,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,994,659,844,462 is 374008994436.
Find LCM of 861,994,659,844,462 with Prime Factorization
| 2 | 861, 994, 659, 844, 462 |
| 3 | 861, 497, 659, 422, 231 |
| 7 | 287, 497, 659, 422, 77 |
| 41, 71, 659, 422, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 41 x 71 x 659 x 422 x 11 = 374008994436
Therefore, the lowest common multiple of 861,994,659,844,462 is 374008994436.
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 994 x 659 x 844 x 462 = 219917288728368
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
994 : 1, 2, 7, 14, 71, 142, 497, 994
659 : 1, 659
844 : 1, 2, 4, 211, 422, 844
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,994,659,844,462, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
994:2x 7x 71
659:659
844:2x 2x 211
462:2x 3x 7x 11
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 = 219917288728368/(1x588)
LCM = 219917288728368/588
LCM = 374008994436
Thus, we can understand that the LCM of 861,994,659,844,462 is 374008994436.
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FAQs on LCM of 861, 994, 659, 844, 462
1. What is the LCM of 861, 994, 659, 844, 462?
Answer: LCM of 861, 994, 659, 844, 462 is 374008994436.
2. How to calculate the LCM of 861, 994, 659, 844, 462?
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, 994, 659, 844, 462.
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}.