LCM of 676, 348, 200, 448, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 348, 200, 448, 208 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 676, 348, 200, 448, 208. So, keep reading to learn more.
Given numbers are 676,348,200,448,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,348,200,448,208 is 164673600.
Find LCM of 676,348,200,448,208 with Prime Factorization
| 2 | 676, 348, 200, 448, 208 |
| 2 | 338, 174, 100, 224, 104 |
| 2 | 169, 87, 50, 112, 52 |
| 2 | 169, 87, 25, 56, 26 |
| 13 | 169, 87, 25, 28, 13 |
| 1, 87, 25, 28, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 1 x 87 x 25 x 28 x 13 = 164673600
Therefore, the lowest common multiple of 676,348,200,448,208 is 164673600.
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.
676 x 348 x 200 x 448 x 208 = 4384269926400
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,348,200,448,208, is 4.
Now, the common factors can be found like this.
676:2x 2x 13x 13
348:2x 2x 3x 29
200:2x 2x 2x 5x 5
448:2x 2x 2x 2x 2x 2x 7
208:2x 2x 2x 2x 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 2x 2x 2x 2x 13 = 6656
Therefore, the value for common factors is 6656.
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 = 4384269926400/(4x6656)
LCM = 4384269926400/26624
LCM = 164673600
Thus, we can understand that the LCM of 676,348,200,448,208 is 164673600.
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FAQs on LCM of 676, 348, 200, 448, 208
1. What is the LCM of 676, 348, 200, 448, 208?
Answer: LCM of 676, 348, 200, 448, 208 is 164673600.
2. How to calculate the LCM of 676, 348, 200, 448, 208?
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 676, 348, 200, 448, 208.
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}.