LCM of 187, 779, 715, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 779, 715, 247 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 187, 779, 715, 247. So, keep reading to learn more.
Given numbers are 187,779,715,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,779,715,247 is 9468745.
Find LCM of 187,779,715,247 with Prime Factorization
| 11 | 187, 779, 715, 247 |
| 13 | 17, 779, 65, 247 |
| 19 | 17, 779, 5, 19 |
| 17, 41, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 19 x 17 x 41 x 5 x 1 = 9468745
Therefore, the lowest common multiple of 187,779,715,247 is 9468745.
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.
187 x 779 x 715 x 247 = 25726580165
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.
187 : 1, 11, 17, 187
779 : 1, 19, 41, 779
715 : 1, 5, 11, 13, 55, 65, 143, 715
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,779,715,247, is 1.
Now, the common factors can be found like this.
187:11x 17
779:19x 41
715:5x 11x 13
247:13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13x 19 = 2717
Therefore, the value for common factors is 2717.
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 = 25726580165/(1x2717)
LCM = 25726580165/2717
LCM = 9468745
Thus, we can understand that the LCM of 187,779,715,247 is 9468745.
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FAQs on LCM of 187, 779, 715, 247
1. What is the LCM of 187, 779, 715, 247?
Answer: LCM of 187, 779, 715, 247 is 9468745.
2. How to calculate the LCM of 187, 779, 715, 247?
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 187, 779, 715, 247.
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}.