LCM of 646, 134, 611, 504, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 134, 611, 504, 576 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 646, 134, 611, 504, 576. So, keep reading to learn more.
Given numbers are 646,134,611,504,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,134,611,504,576 is 53313728832.
Find LCM of 646,134,611,504,576 with Prime Factorization
| 2 | 646, 134, 611, 504, 576 |
| 2 | 323, 67, 611, 252, 288 |
| 2 | 323, 67, 611, 126, 144 |
| 3 | 323, 67, 611, 63, 72 |
| 3 | 323, 67, 611, 21, 24 |
| 323, 67, 611, 7, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 323 x 67 x 611 x 7 x 8 = 53313728832
Therefore, the lowest common multiple of 646,134,611,504,576 is 53313728832.
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.
646 x 134 x 611 x 504 x 576 = 15354353903616
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
134 : 1, 2, 67, 134
611 : 1, 13, 47, 611
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,134,611,504,576, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
134:2x 67
611:13x 47
504:2x 2x 2x 3x 3x 7
576:2x 2x 2x 2x 2x 2x 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 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 15354353903616/(1x288)
LCM = 15354353903616/288
LCM = 53313728832
Thus, we can understand that the LCM of 646,134,611,504,576 is 53313728832.
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FAQs on LCM of 646, 134, 611, 504, 576
1. What is the LCM of 646, 134, 611, 504, 576?
Answer: LCM of 646, 134, 611, 504, 576 is 53313728832.
2. How to calculate the LCM of 646, 134, 611, 504, 576?
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 646, 134, 611, 504, 576.
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}.