LCM of 112, 117, 715, 52
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 117, 715, 52 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 112, 117, 715, 52. So, keep reading to learn more.
Given numbers are 112,117,715,52
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,117,715,52 is 720720.
Find LCM of 112,117,715,52 with Prime Factorization
| 2 | 112, 117, 715, 52 |
| 2 | 56, 117, 715, 26 |
| 13 | 28, 117, 715, 13 |
| 28, 9, 55, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 28 x 9 x 55 x 1 = 720720
Therefore, the lowest common multiple of 112,117,715,52 is 720720.
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.
112 x 117 x 715 x 52 = 487206720
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
117 : 1, 3, 9, 13, 39, 117
715 : 1, 5, 11, 13, 55, 65, 143, 715
52 : 1, 2, 4, 13, 26, 52
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,117,715,52, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
117:3x 3x 13
715:5x 11x 13
52:2x 2x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 487206720/(1x676)
LCM = 487206720/676
LCM = 720720
Thus, we can understand that the LCM of 112,117,715,52 is 720720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 112, 117, 715, 52
1. What is the LCM of 112, 117, 715, 52?
Answer: LCM of 112, 117, 715, 52 is 720720.
2. How to calculate the LCM of 112, 117, 715, 52?
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 112, 117, 715, 52.
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}.