Find the LCM of 866, 367, 117, 646, 918 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 866, 367, 117, 646, 918. So, keep reading to learn more.
Given numbers are 866,367,117,646,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,367,117,646,918 is 36032433606.
Find LCM of 866,367,117,646,918 with Prime Factorization
2 | 866, 367, 117, 646, 918 |
3 | 433, 367, 117, 323, 459 |
3 | 433, 367, 39, 323, 153 |
17 | 433, 367, 13, 323, 51 |
433, 367, 13, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 433 x 367 x 13 x 19 x 3 = 36032433606
Therefore, the lowest common multiple of 866,367,117,646,918 is 36032433606.
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.
866 x 367 x 117 x 646 x 918 = 22051849366872
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.
866 : 1, 2, 433, 866
367 : 1, 367
117 : 1, 3, 9, 13, 39, 117
646 : 1, 2, 17, 19, 34, 38, 323, 646
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,367,117,646,918, is 1.
Now, the common factors can be found like this.
866:2x 433
367:367
117:3x 3x 13
646:2x 17x 19
918:2x 3x 3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 22051849366872/(1x612)
LCM = 22051849366872/612
LCM = 36032433606
Thus, we can understand that the LCM of 866,367,117,646,918 is 36032433606.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 866, 367, 117, 646, 918?
Answer: LCM of 866, 367, 117, 646, 918 is 36032433606.
2. How to calculate the LCM of 866, 367, 117, 646, 918?
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 866, 367, 117, 646, 918.
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}.