Find the LCM of 917, 595, 461, 867, 247 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 917, 595, 461, 867, 247. So, keep reading to learn more.
Given numbers are 917,595,461,867,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,595,461,867,247 is 452643529065.
Find LCM of 917,595,461,867,247 with Prime Factorization
7 | 917, 595, 461, 867, 247 |
17 | 131, 85, 461, 867, 247 |
131, 5, 461, 51, 247 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 131 x 5 x 461 x 51 x 247 = 452643529065
Therefore, the lowest common multiple of 917,595,461,867,247 is 452643529065.
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.
917 x 595 x 461 x 867 x 247 = 53864579958735
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.
917 : 1, 7, 131, 917
595 : 1, 5, 7, 17, 35, 85, 119, 595
461 : 1, 461
867 : 1, 3, 17, 51, 289, 867
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,595,461,867,247, is 1.
Now, the common factors can be found like this.
917:7x 131
595:5x 7x 17
461:461
867:3x 17x 17
247:13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 53864579958735/(1x119)
LCM = 53864579958735/119
LCM = 452643529065
Thus, we can understand that the LCM of 917,595,461,867,247 is 452643529065.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 917, 595, 461, 867, 247?
Answer: LCM of 917, 595, 461, 867, 247 is 452643529065.
2. How to calculate the LCM of 917, 595, 461, 867, 247?
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 917, 595, 461, 867, 247.
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}.