LCM of 969, 324, 342, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 324, 342, 312 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 969, 324, 342, 312. So, keep reading to learn more.
Given numbers are 969,324,342,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,324,342,312 is 2720952.
Find LCM of 969,324,342,312 with Prime Factorization
| 2 | 969, 324, 342, 312 |
| 2 | 969, 162, 171, 156 |
| 3 | 969, 81, 171, 78 |
| 3 | 323, 27, 57, 26 |
| 19 | 323, 9, 19, 26 |
| 17, 9, 1, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 17 x 9 x 1 x 26 = 2720952
Therefore, the lowest common multiple of 969,324,342,312 is 2720952.
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.
969 x 324 x 342 x 312 = 33500361024
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,324,342,312, is 3.
Now, the common factors can be found like this.
969:3x 17x 19
324:2x 2x 3x 3x 3x 3
342:2x 3x 3x 19
312:2x 2x 2x 3x 13
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 3x 3x 3x 19 = 4104
Therefore, the value for common factors is 4104.
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 = 33500361024/(3x4104)
LCM = 33500361024/12312
LCM = 2720952
Thus, we can understand that the LCM of 969,324,342,312 is 2720952.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 969, 324, 342, 312
1. What is the LCM of 969, 324, 342, 312?
Answer: LCM of 969, 324, 342, 312 is 2720952.
2. How to calculate the LCM of 969, 324, 342, 312?
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 969, 324, 342, 312.
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}.