LCM of 728, 168, 693, 496, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 728, 168, 693, 496, 242 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 728, 168, 693, 496, 242. So, keep reading to learn more.
Given numbers are 728,168,693,496,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,168,693,496,242 is 49153104.
Find LCM of 728,168,693,496,242 with Prime Factorization
| 2 | 728, 168, 693, 496, 242 |
| 2 | 364, 84, 693, 248, 121 |
| 2 | 182, 42, 693, 124, 121 |
| 3 | 91, 21, 693, 62, 121 |
| 7 | 91, 7, 231, 62, 121 |
| 11 | 13, 1, 33, 62, 121 |
| 13, 1, 3, 62, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 13 x 1 x 3 x 62 x 11 = 49153104
Therefore, the lowest common multiple of 728,168,693,496,242 is 49153104.
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.
728 x 168 x 693 x 496 x 242 = 10173512853504
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,168,693,496,242, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
168:2x 2x 2x 3x 7
693:3x 3x 7x 11
496:2x 2x 2x 2x 31
242:2x 11x 11
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 3x 7x 7x 11 = 206976
Therefore, the value for common factors is 206976.
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 = 10173512853504/(1x206976)
LCM = 10173512853504/206976
LCM = 49153104
Thus, we can understand that the LCM of 728,168,693,496,242 is 49153104.
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FAQs on LCM of 728, 168, 693, 496, 242
1. What is the LCM of 728, 168, 693, 496, 242?
Answer: LCM of 728, 168, 693, 496, 242 is 49153104.
2. How to calculate the LCM of 728, 168, 693, 496, 242?
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 728, 168, 693, 496, 242.
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}.