LCM of 774, 138, 139, 417, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 138, 139, 417, 414 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 774, 138, 139, 417, 414. So, keep reading to learn more.
Given numbers are 774,138,139,417,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,138,139,417,414 is 2474478.
Find LCM of 774,138,139,417,414 with Prime Factorization
| 2 | 774, 138, 139, 417, 414 |
| 3 | 387, 69, 139, 417, 207 |
| 3 | 129, 23, 139, 139, 69 |
| 23 | 43, 23, 139, 139, 23 |
| 139 | 43, 1, 139, 139, 1 |
| 43, 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 139 x 43 x 1 x 1 x 1 x 1 = 2474478
Therefore, the lowest common multiple of 774,138,139,417,414 is 2474478.
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.
774 x 138 x 139 x 417 x 414 = 2563133597784
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
138 : 1, 2, 3, 6, 23, 46, 69, 138
139 : 1, 139
417 : 1, 3, 139, 417
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,138,139,417,414, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
138:2x 3x 23
139:139
417:3x 139
414:2x 3x 3x 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 2x 3x 3x 3x 3x 23x 139 = 1035828
Therefore, the value for common factors is 1035828.
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 = 2563133597784/(1x1035828)
LCM = 2563133597784/1035828
LCM = 2474478
Thus, we can understand that the LCM of 774,138,139,417,414 is 2474478.
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FAQs on LCM of 774, 138, 139, 417, 414
1. What is the LCM of 774, 138, 139, 417, 414?
Answer: LCM of 774, 138, 139, 417, 414 is 2474478.
2. How to calculate the LCM of 774, 138, 139, 417, 414?
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 774, 138, 139, 417, 414.
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}.