Find the LCM of 178, 978, 267, 857, 801 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 178, 978, 267, 857, 801. So, keep reading to learn more.
Given numbers are 178,978,267,857,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 178,978,267,857,801 is 223784982.
Find LCM of 178,978,267,857,801 with Prime Factorization
2 | 178, 978, 267, 857, 801 |
3 | 89, 489, 267, 857, 801 |
89 | 89, 163, 89, 857, 267 |
1, 163, 1, 857, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 89 x 1 x 163 x 1 x 857 x 3 = 223784982
Therefore, the lowest common multiple of 178,978,267,857,801 is 223784982.
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.
178 x 978 x 267 x 857 x 801 = 31906815163596
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.
178 : 1, 2, 89, 178
978 : 1, 2, 3, 6, 163, 326, 489, 978
267 : 1, 3, 89, 267
857 : 1, 857
801 : 1, 3, 9, 89, 267, 801
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,978,267,857,801, is 1.
Now, the common factors can be found like this.
178:2x 89
978:2x 3x 163
267:3x 89
857:857
801:3x 3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 89x 89 = 142578
Therefore, the value for common factors is 142578.
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 = 31906815163596/(1x142578)
LCM = 31906815163596/142578
LCM = 223784982
Thus, we can understand that the LCM of 178,978,267,857,801 is 223784982.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 178, 978, 267, 857, 801?
Answer: LCM of 178, 978, 267, 857, 801 is 223784982.
2. How to calculate the LCM of 178, 978, 267, 857, 801?
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 178, 978, 267, 857, 801.
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}.