LCM of 327, 872, 512, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 872, 512, 342 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, 872, 512, 342. So, keep reading to learn more.
Given numbers are 327,872,512,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,872,512,342 is 9543168.
Find LCM of 327,872,512,342 with Prime Factorization
| 2 | 327, 872, 512, 342 |
| 2 | 327, 436, 256, 171 |
| 2 | 327, 218, 128, 171 |
| 3 | 327, 109, 64, 171 |
| 109 | 109, 109, 64, 57 |
| 1, 1, 64, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 109 x 1 x 1 x 64 x 57 = 9543168
Therefore, the lowest common multiple of 327,872,512,342 is 9543168.
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 872 x 512 x 342 = 49929854976
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
872 : 1, 2, 4, 8, 109, 218, 436, 872
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,872,512,342, is 1.
Now, the common factors can be found like this.
327:3x 109
872:2x 2x 2x 109
512:2x 2x 2x 2x 2x 2x 2x 2x 2
342:2x 3x 3x 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 2x 2x 2x 3x 109 = 5232
Therefore, the value for common factors is 5232.
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 = 49929854976/(1x5232)
LCM = 49929854976/5232
LCM = 9543168
Thus, we can understand that the LCM of 327,872,512,342 is 9543168.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 327, 872, 512, 342
1. What is the LCM of 327, 872, 512, 342?
Answer: LCM of 327, 872, 512, 342 is 9543168.
2. How to calculate the LCM of 327, 872, 512, 342?
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, 872, 512, 342.
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}.