Find the LCM of 170, 993, 802, 760, 326 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 170, 993, 802, 760, 326. So, keep reading to learn more.
Given numbers are 170,993,802,760,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 170,993,802,760,326 is 838578530280.
Find LCM of 170,993,802,760,326 with Prime Factorization
2 | 170, 993, 802, 760, 326 |
5 | 85, 993, 401, 380, 163 |
17, 993, 401, 76, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 993 x 401 x 76 x 163 = 838578530280
Therefore, the lowest common multiple of 170,993,802,760,326 is 838578530280.
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.
170 x 993 x 802 x 760 x 326 = 33543141211200
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.
170 : 1, 2, 5, 10, 17, 34, 85, 170
993 : 1, 3, 331, 993
802 : 1, 2, 401, 802
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,993,802,760,326, is 1.
Now, the common factors can be found like this.
170:2x 5x 17
993:3x 331
802:2x 401
760:2x 2x 2x 5x 19
326:2x 163
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 2x 5 = 40
Therefore, the value for common factors is 40.
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 = 33543141211200/(1x40)
LCM = 33543141211200/40
LCM = 838578530280
Thus, we can understand that the LCM of 170,993,802,760,326 is 838578530280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 170, 993, 802, 760, 326?
Answer: LCM of 170, 993, 802, 760, 326 is 838578530280.
2. How to calculate the LCM of 170, 993, 802, 760, 326?
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 170, 993, 802, 760, 326.
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}.