Find the LCM of 547, 160, 917, 917 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 547, 160, 917, 917. So, keep reading to learn more.
Given numbers are 547,160,917,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,160,917,917 is 80255840.
Find LCM of 547,160,917,917 with Prime Factorization
7 | 547, 160, 917, 917 |
131 | 547, 160, 131, 131 |
547, 160, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 131 x 547 x 160 x 1 x 1 = 80255840
Therefore, the lowest common multiple of 547,160,917,917 is 80255840.
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.
547 x 160 x 917 x 917 = 73594605280
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.
547 : 1, 547
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
917 : 1, 7, 131, 917
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,160,917,917, is 1.
Now, the common factors can be found like this.
547:547
160:2x 2x 2x 2x 2x 5
917:7x 131
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 131 = 917
Therefore, the value for common factors is 917.
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 = 73594605280/(1x917)
LCM = 73594605280/917
LCM = 80255840
Thus, we can understand that the LCM of 547,160,917,917 is 80255840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 547, 160, 917, 917?
Answer: LCM of 547, 160, 917, 917 is 80255840.
2. How to calculate the LCM of 547, 160, 917, 917?
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 547, 160, 917, 917.
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}.