LCM of 772, 686, 192, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 686, 192, 308 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 772, 686, 192, 308. So, keep reading to learn more.
Given numbers are 772,686,192,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,686,192,308 is 139812288.
Find LCM of 772,686,192,308 with Prime Factorization
| 2 | 772, 686, 192, 308 |
| 2 | 386, 343, 96, 154 |
| 7 | 193, 343, 48, 77 |
| 193, 49, 48, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 193 x 49 x 48 x 11 = 139812288
Therefore, the lowest common multiple of 772,686,192,308 is 139812288.
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.
772 x 686 x 192 x 308 = 31317952512
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.
772 : 1, 2, 4, 193, 386, 772
686 : 1, 2, 7, 14, 49, 98, 343, 686
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,686,192,308, is 2.
Now, the common factors can be found like this.
772:2x 2x 193
686:2x 7x 7x 7
192:2x 2x 2x 2x 2x 2x 3
308:2x 2x 7x 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 7 = 112
Therefore, the value for common factors is 112.
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 = 31317952512/(2x112)
LCM = 31317952512/224
LCM = 139812288
Thus, we can understand that the LCM of 772,686,192,308 is 139812288.
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FAQs on LCM of 772, 686, 192, 308
1. What is the LCM of 772, 686, 192, 308?
Answer: LCM of 772, 686, 192, 308 is 139812288.
2. How to calculate the LCM of 772, 686, 192, 308?
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 772, 686, 192, 308.
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}.