LCM of 487, 633, 819, 378, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 633, 819, 378, 336 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 487, 633, 819, 378, 336. So, keep reading to learn more.
Given numbers are 487,633,819,378,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,633,819,378,336 is 4039583184.
Find LCM of 487,633,819,378,336 with Prime Factorization
| 2 | 487, 633, 819, 378, 336 |
| 3 | 487, 633, 819, 189, 168 |
| 3 | 487, 211, 273, 63, 56 |
| 7 | 487, 211, 91, 21, 56 |
| 487, 211, 13, 3, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 487 x 211 x 13 x 3 x 8 = 4039583184
Therefore, the lowest common multiple of 487,633,819,378,336 is 4039583184.
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.
487 x 633 x 819 x 378 x 336 = 32066211314592
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.
487 : 1, 487
633 : 1, 3, 211, 633
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,633,819,378,336, is 1.
Now, the common factors can be found like this.
487:487
633:3x 211
819:3x 3x 7x 13
378:2x 3x 3x 3x 7
336:2x 2x 2x 2x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 7x 7 = 7938
Therefore, the value for common factors is 7938.
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 = 32066211314592/(1x7938)
LCM = 32066211314592/7938
LCM = 4039583184
Thus, we can understand that the LCM of 487,633,819,378,336 is 4039583184.
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FAQs on LCM of 487, 633, 819, 378, 336
1. What is the LCM of 487, 633, 819, 378, 336?
Answer: LCM of 487, 633, 819, 378, 336 is 4039583184.
2. How to calculate the LCM of 487, 633, 819, 378, 336?
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 487, 633, 819, 378, 336.
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}.