LCM of 256, 636, 728, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 256, 636, 728, 546 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 256, 636, 728, 546. So, keep reading to learn more.
Given numbers are 256,636,728,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,636,728,546 is 3704064.
Find LCM of 256,636,728,546 with Prime Factorization
| 2 | 256, 636, 728, 546 |
| 2 | 128, 318, 364, 273 |
| 2 | 64, 159, 182, 273 |
| 3 | 32, 159, 91, 273 |
| 7 | 32, 53, 91, 91 |
| 13 | 32, 53, 13, 13 |
| 32, 53, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 32 x 53 x 1 x 1 = 3704064
Therefore, the lowest common multiple of 256,636,728,546 is 3704064.
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.
256 x 636 x 728 x 546 = 64717406208
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.
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,636,728,546, is 2.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
636:2x 2x 3x 53
728:2x 2x 2x 7x 13
546:2x 3x 7x 13
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 7x 13 = 8736
Therefore, the value for common factors is 8736.
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 = 64717406208/(2x8736)
LCM = 64717406208/17472
LCM = 3704064
Thus, we can understand that the LCM of 256,636,728,546 is 3704064.
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FAQs on LCM of 256, 636, 728, 546
1. What is the LCM of 256, 636, 728, 546?
Answer: LCM of 256, 636, 728, 546 is 3704064.
2. How to calculate the LCM of 256, 636, 728, 546?
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 256, 636, 728, 546.
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}.