Find the LCM of 171, 348, 174, 969 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 171, 348, 174, 969. So, keep reading to learn more.
Given numbers are 171,348,174,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 171,348,174,969 is 337212.
Find LCM of 171,348,174,969 with Prime Factorization
2 | 171, 348, 174, 969 |
3 | 171, 174, 87, 969 |
19 | 57, 58, 29, 323 |
29 | 3, 58, 29, 17 |
3, 2, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 29 x 3 x 2 x 1 x 17 = 337212
Therefore, the lowest common multiple of 171,348,174,969 is 337212.
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.
171 x 348 x 174 x 969 = 10033405848
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.
171 : 1, 3, 9, 19, 57, 171
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
174 : 1, 2, 3, 6, 29, 58, 87, 174
969 : 1, 3, 17, 19, 51, 57, 323, 969
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,348,174,969, is 3.
Now, the common factors can be found like this.
171:3x 3x 19
348:2x 2x 3x 29
174:2x 3x 29
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19x 29 = 9918
Therefore, the value for common factors is 9918.
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 = 10033405848/(3x9918)
LCM = 10033405848/29754
LCM = 337212
Thus, we can understand that the LCM of 171,348,174,969 is 337212.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 171, 348, 174, 969?
Answer: LCM of 171, 348, 174, 969 is 337212.
2. How to calculate the LCM of 171, 348, 174, 969?
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 171, 348, 174, 969.
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}.