Find the LCM of 327, 271, 981, 170 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 327, 271, 981, 170. So, keep reading to learn more.
Given numbers are 327,271,981,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,271,981,170 is 45194670.
Find LCM of 327,271,981,170 with Prime Factorization
3 | 327, 271, 981, 170 |
109 | 109, 271, 327, 170 |
1, 271, 3, 170 |
Multiply the prime numbers at the bottom and the left side.
3 x 109 x 1 x 271 x 3 x 170 = 45194670
Therefore, the lowest common multiple of 327,271,981,170 is 45194670.
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.
327 x 271 x 981 x 170 = 14778657090
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.
327 : 1, 3, 109, 327
271 : 1, 271
981 : 1, 3, 9, 109, 327, 981
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,271,981,170, is 1.
Now, the common factors can be found like this.
327:3x 109
271:271
981:3x 3x 109
170:2x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 109 = 327
Therefore, the value for common factors is 327.
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 = 14778657090/(1x327)
LCM = 14778657090/327
LCM = 45194670
Thus, we can understand that the LCM of 327,271,981,170 is 45194670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 327, 271, 981, 170?
Answer: LCM of 327, 271, 981, 170 is 45194670.
2. How to calculate the LCM of 327, 271, 981, 170?
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 327, 271, 981, 170.
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}.