LCM of 387, 731, 923, 401, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 731, 923, 401, 426 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 387, 731, 923, 401, 426. So, keep reading to learn more.
Given numbers are 387,731,923,401,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,731,923,401,426 is 4870078434.
Find LCM of 387,731,923,401,426 with Prime Factorization
| 3 | 387, 731, 923, 401, 426 |
| 43 | 129, 731, 923, 401, 142 |
| 71 | 3, 17, 923, 401, 142 |
| 3, 17, 13, 401, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 71 x 3 x 17 x 13 x 401 x 2 = 4870078434
Therefore, the lowest common multiple of 387,731,923,401,426 is 4870078434.
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.
387 x 731 x 923 x 401 x 426 = 44605048377006
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.
387 : 1, 3, 9, 43, 129, 387
731 : 1, 17, 43, 731
923 : 1, 13, 71, 923
401 : 1, 401
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,731,923,401,426, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
731:17x 43
923:13x 71
401:401
426:2x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 43x 71 = 9159
Therefore, the value for common factors is 9159.
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 = 44605048377006/(1x9159)
LCM = 44605048377006/9159
LCM = 4870078434
Thus, we can understand that the LCM of 387,731,923,401,426 is 4870078434.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 387, 731, 923, 401, 426
1. What is the LCM of 387, 731, 923, 401, 426?
Answer: LCM of 387, 731, 923, 401, 426 is 4870078434.
2. How to calculate the LCM of 387, 731, 923, 401, 426?
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 387, 731, 923, 401, 426.
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}.