LCM of 557, 939, 216, 401
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 939, 216, 401 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 557, 939, 216, 401. So, keep reading to learn more.
Given numbers are 557,939,216,401
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,939,216,401 is 15100720056.
Find LCM of 557,939,216,401 with Prime Factorization
| 3 | 557, 939, 216, 401 |
| 557, 313, 72, 401 |
Multiply the prime numbers at the bottom and the left side.
3 x 557 x 313 x 72 x 401 = 15100720056
Therefore, the lowest common multiple of 557,939,216,401 is 15100720056.
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.
557 x 939 x 216 x 401 = 45302160168
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.
557 : 1, 557
939 : 1, 3, 313, 939
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
401 : 1, 401
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,939,216,401, is 1.
Now, the common factors can be found like this.
557:557
939:3x 313
216:2x 2x 2x 3x 3x 3
401:401
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 45302160168/(1x3)
LCM = 45302160168/3
LCM = 15100720056
Thus, we can understand that the LCM of 557,939,216,401 is 15100720056.
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FAQs on LCM of 557, 939, 216, 401
1. What is the LCM of 557, 939, 216, 401?
Answer: LCM of 557, 939, 216, 401 is 15100720056.
2. How to calculate the LCM of 557, 939, 216, 401?
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 557, 939, 216, 401.
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}.