LCM of 321, 328, 274, 772, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 328, 274, 772, 486 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 321, 328, 274, 772, 486. So, keep reading to learn more.
Given numbers are 321,328,274,772,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,328,274,772,486 is 225497520648.
Find LCM of 321,328,274,772,486 with Prime Factorization
| 2 | 321, 328, 274, 772, 486 |
| 2 | 321, 164, 137, 386, 243 |
| 3 | 321, 82, 137, 193, 243 |
| 107, 82, 137, 193, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 82 x 137 x 193 x 81 = 225497520648
Therefore, the lowest common multiple of 321,328,274,772,486 is 225497520648.
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.
321 x 328 x 274 x 772 x 486 = 10823880991104
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.
321 : 1, 3, 107, 321
328 : 1, 2, 4, 8, 41, 82, 164, 328
274 : 1, 2, 137, 274
772 : 1, 2, 4, 193, 386, 772
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,328,274,772,486, is 1.
Now, the common factors can be found like this.
321:3x 107
328:2x 2x 2x 41
274:2x 137
772:2x 2x 193
486:2x 3x 3x 3x 3x 3
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 3 = 48
Therefore, the value for common factors is 48.
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 = 10823880991104/(1x48)
LCM = 10823880991104/48
LCM = 225497520648
Thus, we can understand that the LCM of 321,328,274,772,486 is 225497520648.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 321, 328, 274, 772, 486
1. What is the LCM of 321, 328, 274, 772, 486?
Answer: LCM of 321, 328, 274, 772, 486 is 225497520648.
2. How to calculate the LCM of 321, 328, 274, 772, 486?
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 321, 328, 274, 772, 486.
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}.