LCM of 328, 608, 987, 738, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 608, 987, 738, 282 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, 608, 987, 738, 282. So, keep reading to learn more.
Given numbers are 328,608,987,738,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,608,987,738,282 is 73811808.
Find LCM of 328,608,987,738,282 with Prime Factorization
| 2 | 328, 608, 987, 738, 282 |
| 2 | 164, 304, 987, 369, 141 |
| 2 | 82, 152, 987, 369, 141 |
| 3 | 41, 76, 987, 369, 141 |
| 41 | 41, 76, 329, 123, 47 |
| 47 | 1, 76, 329, 3, 47 |
| 1, 76, 7, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 47 x 1 x 76 x 7 x 3 x 1 = 73811808
Therefore, the lowest common multiple of 328,608,987,738,282 is 73811808.
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 608 x 987 x 738 x 282 = 40963781956608
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
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
987 : 1, 3, 7, 21, 47, 141, 329, 987
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,608,987,738,282, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
608:2x 2x 2x 2x 2x 19
987:3x 7x 47
738:2x 3x 3x 41
282:2x 3x 47
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 3x 3x 41x 47 = 554976
Therefore, the value for common factors is 554976.
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 = 40963781956608/(1x554976)
LCM = 40963781956608/554976
LCM = 73811808
Thus, we can understand that the LCM of 328,608,987,738,282 is 73811808.
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FAQs on LCM of 328, 608, 987, 738, 282
1. What is the LCM of 328, 608, 987, 738, 282?
Answer: LCM of 328, 608, 987, 738, 282 is 73811808.
2. How to calculate the LCM of 328, 608, 987, 738, 282?
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, 608, 987, 738, 282.
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}.