Find the LCM of 166, 947, 262, 256, 231 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 166, 947, 262, 256, 231. So, keep reading to learn more.
Given numbers are 166,947,262,256,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 166,947,262,256,231 is 608907484416.
Find LCM of 166,947,262,256,231 with Prime Factorization
2 | 166, 947, 262, 256, 231 |
83, 947, 131, 128, 231 |
Multiply the prime numbers at the bottom and the left side.
2 x 83 x 947 x 131 x 128 x 231 = 608907484416
Therefore, the lowest common multiple of 166,947,262,256,231 is 608907484416.
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.
166 x 947 x 262 x 256 x 231 = 2435629937664
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.
166 : 1, 2, 83, 166
947 : 1, 947
262 : 1, 2, 131, 262
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,947,262,256,231, is 1.
Now, the common factors can be found like this.
166:2x 83
947:947
262:2x 131
256:2x 2x 2x 2x 2x 2x 2x 2
231:3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 2435629937664/(1x4)
LCM = 2435629937664/4
LCM = 608907484416
Thus, we can understand that the LCM of 166,947,262,256,231 is 608907484416.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 166, 947, 262, 256, 231?
Answer: LCM of 166, 947, 262, 256, 231 is 608907484416.
2. How to calculate the LCM of 166, 947, 262, 256, 231?
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 166, 947, 262, 256, 231.
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}.