LCM of 328, 184, 424, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 184, 424, 514 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 328, 184, 424, 514. So, keep reading to learn more.
Given numbers are 328,184,424,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,184,424,514 is 102756824.
Find LCM of 328,184,424,514 with Prime Factorization
| 2 | 328, 184, 424, 514 |
| 2 | 164, 92, 212, 257 |
| 2 | 82, 46, 106, 257 |
| 41, 23, 53, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 41 x 23 x 53 x 257 = 102756824
Therefore, the lowest common multiple of 328,184,424,514 is 102756824.
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.
328 x 184 x 424 x 514 = 13152873472
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
184 : 1, 2, 4, 8, 23, 46, 92, 184
424 : 1, 2, 4, 8, 53, 106, 212, 424
514 : 1, 2, 257, 514
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,184,424,514, is 2.
Now, the common factors can be found like this.
328:2x 2x 2x 41
184:2x 2x 2x 23
424:2x 2x 2x 53
514:2x 257
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 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 13152873472/(2x64)
LCM = 13152873472/128
LCM = 102756824
Thus, we can understand that the LCM of 328,184,424,514 is 102756824.
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FAQs on LCM of 328, 184, 424, 514
1. What is the LCM of 328, 184, 424, 514?
Answer: LCM of 328, 184, 424, 514 is 102756824.
2. How to calculate the LCM of 328, 184, 424, 514?
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 328, 184, 424, 514.
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}.