Find the LCM of 715, 741, 587, 217 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, 741, 587, 217. So, keep reading to learn more.
Given numbers are 715,741,587,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,741,587,217 is 5191331145.
Find LCM of 715,741,587,217 with Prime Factorization
13 | 715, 741, 587, 217 |
55, 57, 587, 217 |
Multiply the prime numbers at the bottom and the left side.
13 x 55 x 57 x 587 x 217 = 5191331145
Therefore, the lowest common multiple of 715,741,587,217 is 5191331145.
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 741 x 587 x 217 = 67487304885
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
741 : 1, 3, 13, 19, 39, 57, 247, 741
587 : 1, 587
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,741,587,217, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
741:3x 13x 19
587:587
217:7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 67487304885/(1x13)
LCM = 67487304885/13
LCM = 5191331145
Thus, we can understand that the LCM of 715,741,587,217 is 5191331145.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 715, 741, 587, 217?
Answer: LCM of 715, 741, 587, 217 is 5191331145.
2. How to calculate the LCM of 715, 741, 587, 217?
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, 741, 587, 217.
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}.