Find the LCM of 113, 917, 107, 749, 768 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 113, 917, 107, 749, 768. So, keep reading to learn more.
Given numbers are 113,917,107,749,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,917,107,749,768 is 8515159296.
Find LCM of 113,917,107,749,768 with Prime Factorization
7 | 113, 917, 107, 749, 768 |
107 | 113, 131, 107, 107, 768 |
113, 131, 1, 1, 768 |
Multiply the prime numbers at the bottom and the left side.
7 x 107 x 113 x 131 x 1 x 1 x 768 = 8515159296
Therefore, the lowest common multiple of 113,917,107,749,768 is 8515159296.
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.
113 x 917 x 107 x 749 x 768 = 6377854312704
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.
113 : 1, 113
917 : 1, 7, 131, 917
107 : 1, 107
749 : 1, 7, 107, 749
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,917,107,749,768, is 1.
Now, the common factors can be found like this.
113:113
917:7x 131
107:107
749:7x 107
768:2x 2x 2x 2x 2x 2x 2x 2x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 107 = 749
Therefore, the value for common factors is 749.
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 = 6377854312704/(1x749)
LCM = 6377854312704/749
LCM = 8515159296
Thus, we can understand that the LCM of 113,917,107,749,768 is 8515159296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 113, 917, 107, 749, 768?
Answer: LCM of 113, 917, 107, 749, 768 is 8515159296.
2. How to calculate the LCM of 113, 917, 107, 749, 768?
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 113, 917, 107, 749, 768.
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}.