LCM of 337, 926, 892, 616, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 337, 926, 892, 616, 814 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 337, 926, 892, 616, 814. So, keep reading to learn more.
Given numbers are 337,926,892,616,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,926,892,616,814 is 793045657096.
Find LCM of 337,926,892,616,814 with Prime Factorization
| 2 | 337, 926, 892, 616, 814 |
| 2 | 337, 463, 446, 308, 407 |
| 11 | 337, 463, 223, 154, 407 |
| 337, 463, 223, 14, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 337 x 463 x 223 x 14 x 37 = 793045657096
Therefore, the lowest common multiple of 337,926,892,616,814 is 793045657096.
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.
337 x 926 x 892 x 616 x 814 = 139576035648896
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.
337 : 1, 337
926 : 1, 2, 463, 926
892 : 1, 2, 4, 223, 446, 892
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,926,892,616,814, is 1.
Now, the common factors can be found like this.
337:337
926:2x 463
892:2x 2x 223
616:2x 2x 2x 7x 11
814:2x 11x 37
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 11 = 176
Therefore, the value for common factors is 176.
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 = 139576035648896/(1x176)
LCM = 139576035648896/176
LCM = 793045657096
Thus, we can understand that the LCM of 337,926,892,616,814 is 793045657096.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 337, 926, 892, 616, 814
1. What is the LCM of 337, 926, 892, 616, 814?
Answer: LCM of 337, 926, 892, 616, 814 is 793045657096.
2. How to calculate the LCM of 337, 926, 892, 616, 814?
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 337, 926, 892, 616, 814.
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}.