LCM of 715, 627, 505, 233, 401
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 627, 505, 233, 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 715, 627, 505, 233, 401. So, keep reading to learn more.
Given numbers are 715,627,505,233,401
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,627,505,233,401 is 384594053415.
Find LCM of 715,627,505,233,401 with Prime Factorization
| 5 | 715, 627, 505, 233, 401 |
| 11 | 143, 627, 101, 233, 401 |
| 13, 57, 101, 233, 401 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 13 x 57 x 101 x 233 x 401 = 384594053415
Therefore, the lowest common multiple of 715,627,505,233,401 is 384594053415.
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.
715 x 627 x 505 x 233 x 401 = 21152672937825
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
627 : 1, 3, 11, 19, 33, 57, 209, 627
505 : 1, 5, 101, 505
233 : 1, 233
401 : 1, 401
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,627,505,233,401, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
627:3x 11x 19
505:5x 101
233:233
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.
5x 11 = 55
Therefore, the value for common factors is 55.
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 = 21152672937825/(1x55)
LCM = 21152672937825/55
LCM = 384594053415
Thus, we can understand that the LCM of 715,627,505,233,401 is 384594053415.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 715, 627, 505, 233, 401
1. What is the LCM of 715, 627, 505, 233, 401?
Answer: LCM of 715, 627, 505, 233, 401 is 384594053415.
2. How to calculate the LCM of 715, 627, 505, 233, 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 715, 627, 505, 233, 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}.