LCM of 682, 198, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 198, 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 682, 198, 576. So, keep reading to learn more.
Given numbers are 682,198,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,198,576 is 196416.
Find LCM of 682,198,576 with Prime Factorization
| 2 | 682, 198, 576 |
| 3 | 341, 99, 288 |
| 3 | 341, 33, 96 |
| 11 | 341, 11, 32 |
| 31, 1, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 31 x 1 x 32 = 196416
Therefore, the lowest common multiple of 682,198,576 is 196416.
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.
682 x 198 x 576 = 77780736
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,198,576, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
198:2x 3x 3x 11
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 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 77780736/(2x198)
LCM = 77780736/396
LCM = 196416
Thus, we can understand that the LCM of 682,198,576 is 196416.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 198, 576
1. What is the LCM of 682, 198, 576?
Answer: LCM of 682, 198, 576 is 196416.
2. How to calculate the LCM of 682, 198, 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 682, 198, 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}.