Find the LCM of 269, 949, 608, 923 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 269, 949, 608, 923. So, keep reading to learn more.
Given numbers are 269,949,608,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,949,608,923 is 11019970208.
Find LCM of 269,949,608,923 with Prime Factorization
13 | 269, 949, 608, 923 |
269, 73, 608, 71 |
Multiply the prime numbers at the bottom and the left side.
13 x 269 x 73 x 608 x 71 = 11019970208
Therefore, the lowest common multiple of 269,949,608,923 is 11019970208.
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.
269 x 949 x 608 x 923 = 143259612704
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.
269 : 1, 269
949 : 1, 13, 73, 949
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,949,608,923, is 1.
Now, the common factors can be found like this.
269:269
949:13x 73
608:2x 2x 2x 2x 2x 19
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 143259612704/(1x13)
LCM = 143259612704/13
LCM = 11019970208
Thus, we can understand that the LCM of 269,949,608,923 is 11019970208.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 269, 949, 608, 923?
Answer: LCM of 269, 949, 608, 923 is 11019970208.
2. How to calculate the LCM of 269, 949, 608, 923?
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 269, 949, 608, 923.
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}.