LCM of 814, 834, 960, 681, 596
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 834, 960, 681, 596 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 814, 834, 960, 681, 596. So, keep reading to learn more.
Given numbers are 814,834,960,681,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,834,960,681,596 is 1836929835840.
Find LCM of 814,834,960,681,596 with Prime Factorization
| 2 | 814, 834, 960, 681, 596 |
| 2 | 407, 417, 480, 681, 298 |
| 3 | 407, 417, 240, 681, 149 |
| 407, 139, 80, 227, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 407 x 139 x 80 x 227 x 149 = 1836929835840
Therefore, the lowest common multiple of 814,834,960,681,596 is 1836929835840.
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.
814 x 834 x 960 x 681 x 596 = 264517896360960
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
834 : 1, 2, 3, 6, 139, 278, 417, 834
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
681 : 1, 3, 227, 681
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,834,960,681,596, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
834:2x 3x 139
960:2x 2x 2x 2x 2x 2x 3x 5
681:3x 227
596:2x 2x 149
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 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 264517896360960/(1x144)
LCM = 264517896360960/144
LCM = 1836929835840
Thus, we can understand that the LCM of 814,834,960,681,596 is 1836929835840.
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FAQs on LCM of 814, 834, 960, 681, 596
1. What is the LCM of 814, 834, 960, 681, 596?
Answer: LCM of 814, 834, 960, 681, 596 is 1836929835840.
2. How to calculate the LCM of 814, 834, 960, 681, 596?
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 814, 834, 960, 681, 596.
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}.