LCM of 686, 672, 664, 369, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 672, 664, 369, 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 686, 672, 664, 369, 576. So, keep reading to learn more.
Given numbers are 686,672,664,369,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,672,664,369,576 is 672323904.
Find LCM of 686,672,664,369,576 with Prime Factorization
| 2 | 686, 672, 664, 369, 576 |
| 2 | 343, 336, 332, 369, 288 |
| 2 | 343, 168, 166, 369, 144 |
| 2 | 343, 84, 83, 369, 72 |
| 2 | 343, 42, 83, 369, 36 |
| 3 | 343, 21, 83, 369, 18 |
| 3 | 343, 7, 83, 123, 6 |
| 7 | 343, 7, 83, 41, 2 |
| 49, 1, 83, 41, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 49 x 1 x 83 x 41 x 2 = 672323904
Therefore, the lowest common multiple of 686,672,664,369,576 is 672323904.
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.
686 x 672 x 664 x 369 x 576 = 65059439542272
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
664 : 1, 2, 4, 8, 83, 166, 332, 664
369 : 1, 3, 9, 41, 123, 369
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 686,672,664,369,576, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
672:2x 2x 2x 2x 2x 3x 7
664:2x 2x 2x 83
369:3x 3x 41
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 2x 2x 2x 2x 3x 3x 3x 7 = 96768
Therefore, the value for common factors is 96768.
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 = 65059439542272/(1x96768)
LCM = 65059439542272/96768
LCM = 672323904
Thus, we can understand that the LCM of 686,672,664,369,576 is 672323904.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 686, 672, 664, 369, 576
1. What is the LCM of 686, 672, 664, 369, 576?
Answer: LCM of 686, 672, 664, 369, 576 is 672323904.
2. How to calculate the LCM of 686, 672, 664, 369, 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 686, 672, 664, 369, 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}.