LCM of 814, 962, 681, 826, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 962, 681, 826, 208 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, 962, 681, 826, 208. So, keep reading to learn more.
Given numbers are 814,962,681,826,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,962,681,826,208 is 23809753968.
Find LCM of 814,962,681,826,208 with Prime Factorization
| 2 | 814, 962, 681, 826, 208 |
| 13 | 407, 481, 681, 413, 104 |
| 37 | 407, 37, 681, 413, 8 |
| 11, 1, 681, 413, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 37 x 11 x 1 x 681 x 413 x 8 = 23809753968
Therefore, the lowest common multiple of 814,962,681,826,208 is 23809753968.
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 962 x 681 x 826 x 208 = 91619933268864
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
962 : 1, 2, 13, 26, 37, 74, 481, 962
681 : 1, 3, 227, 681
826 : 1, 2, 7, 14, 59, 118, 413, 826
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,962,681,826,208, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
962:2x 13x 37
681:3x 227
826:2x 7x 59
208:2x 2x 2x 2x 13
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 13x 37 = 3848
Therefore, the value for common factors is 3848.
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 = 91619933268864/(1x3848)
LCM = 91619933268864/3848
LCM = 23809753968
Thus, we can understand that the LCM of 814,962,681,826,208 is 23809753968.
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FAQs on LCM of 814, 962, 681, 826, 208
1. What is the LCM of 814, 962, 681, 826, 208?
Answer: LCM of 814, 962, 681, 826, 208 is 23809753968.
2. How to calculate the LCM of 814, 962, 681, 826, 208?
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, 962, 681, 826, 208.
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}.