Find the LCM of 935, 646, 491, 792, 174 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 935, 646, 491, 792, 174. So, keep reading to learn more.
Given numbers are 935,646,491,792,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,646,491,792,174 is 18212820120.
Find LCM of 935,646,491,792,174 with Prime Factorization
2 | 935, 646, 491, 792, 174 |
3 | 935, 323, 491, 396, 87 |
11 | 935, 323, 491, 132, 29 |
17 | 85, 323, 491, 12, 29 |
5, 19, 491, 12, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 5 x 19 x 491 x 12 x 29 = 18212820120
Therefore, the lowest common multiple of 935,646,491,792,174 is 18212820120.
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.
935 x 646 x 491 x 792 x 174 = 40869568349280
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
646 : 1, 2, 17, 19, 34, 38, 323, 646
491 : 1, 491
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,646,491,792,174, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
646:2x 17x 19
491:491
792:2x 2x 2x 3x 3x 11
174:2x 3x 29
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 11x 17 = 2244
Therefore, the value for common factors is 2244.
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 = 40869568349280/(1x2244)
LCM = 40869568349280/2244
LCM = 18212820120
Thus, we can understand that the LCM of 935,646,491,792,174 is 18212820120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 935, 646, 491, 792, 174?
Answer: LCM of 935, 646, 491, 792, 174 is 18212820120.
2. How to calculate the LCM of 935, 646, 491, 792, 174?
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 935, 646, 491, 792, 174.
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}.