LCM of 496, 204, 486, 560, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 204, 486, 560, 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 496, 204, 486, 560, 336. So, keep reading to learn more.
Given numbers are 496,204,486,560,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,204,486,560,336 is 71714160.
Find LCM of 496,204,486,560,336 with Prime Factorization
| 2 | 496, 204, 486, 560, 336 |
| 2 | 248, 102, 243, 280, 168 |
| 2 | 124, 51, 243, 140, 84 |
| 2 | 62, 51, 243, 70, 42 |
| 3 | 31, 51, 243, 35, 21 |
| 7 | 31, 17, 81, 35, 7 |
| 31, 17, 81, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 31 x 17 x 81 x 5 x 1 = 71714160
Therefore, the lowest common multiple of 496,204,486,560,336 is 71714160.
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.
496 x 204 x 486 x 560 x 336 = 9252847779840
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,204,486,560,336, is 2.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
204:2x 2x 3x 17
486:2x 3x 3x 3x 3x 3
560:2x 2x 2x 2x 5x 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 2x 2x 2x 2x 2x 2x 2x 2x 2x 3x 3x 7 = 64512
Therefore, the value for common factors is 64512.
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 = 9252847779840/(2x64512)
LCM = 9252847779840/129024
LCM = 71714160
Thus, we can understand that the LCM of 496,204,486,560,336 is 71714160.
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FAQs on LCM of 496, 204, 486, 560, 336
1. What is the LCM of 496, 204, 486, 560, 336?
Answer: LCM of 496, 204, 486, 560, 336 is 71714160.
2. How to calculate the LCM of 496, 204, 486, 560, 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 496, 204, 486, 560, 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}.