LCM of 886, 321, 739, 345, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 886, 321, 739, 345, 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 886, 321, 739, 345, 966. So, keep reading to learn more.
Given numbers are 886,321,739,345,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 886,321,739,345,966 is 169191707370.
Find LCM of 886,321,739,345,966 with Prime Factorization
| 2 | 886, 321, 739, 345, 966 |
| 3 | 443, 321, 739, 345, 483 |
| 23 | 443, 107, 739, 115, 161 |
| 443, 107, 739, 5, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 443 x 107 x 739 x 5 x 7 = 169191707370
Therefore, the lowest common multiple of 886,321,739,345,966 is 169191707370.
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.
886 x 321 x 739 x 345 x 966 = 70045366851180
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.
886 : 1, 2, 443, 886
321 : 1, 3, 107, 321
739 : 1, 739
345 : 1, 3, 5, 15, 23, 69, 115, 345
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 886,321,739,345,966, is 1.
Now, the common factors can be found like this.
886:2x 443
321:3x 107
739:739
345:3x 5x 23
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 3x 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 70045366851180/(1x414)
LCM = 70045366851180/414
LCM = 169191707370
Thus, we can understand that the LCM of 886,321,739,345,966 is 169191707370.
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FAQs on LCM of 886, 321, 739, 345, 966
1. What is the LCM of 886, 321, 739, 345, 966?
Answer: LCM of 886, 321, 739, 345, 966 is 169191707370.
2. How to calculate the LCM of 886, 321, 739, 345, 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 886, 321, 739, 345, 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}.