LCM of 668, 338, 385, 994, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 338, 385, 994, 819 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 668, 338, 385, 994, 819. So, keep reading to learn more.
Given numbers are 668,338,385,994,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,338,385,994,819 is 27773125380.
Find LCM of 668,338,385,994,819 with Prime Factorization
| 2 | 668, 338, 385, 994, 819 |
| 7 | 334, 169, 385, 497, 819 |
| 13 | 334, 169, 55, 71, 117 |
| 334, 13, 55, 71, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 334 x 13 x 55 x 71 x 9 = 27773125380
Therefore, the lowest common multiple of 668,338,385,994,819 is 27773125380.
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.
668 x 338 x 385 x 994 x 819 = 70765923468240
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.
668 : 1, 2, 4, 167, 334, 668
338 : 1, 2, 13, 26, 169, 338
385 : 1, 5, 7, 11, 35, 55, 77, 385
994 : 1, 2, 7, 14, 71, 142, 497, 994
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,338,385,994,819, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
338:2x 13x 13
385:5x 7x 11
994:2x 7x 71
819:3x 3x 7x 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 7x 7x 13 = 2548
Therefore, the value for common factors is 2548.
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 = 70765923468240/(1x2548)
LCM = 70765923468240/2548
LCM = 27773125380
Thus, we can understand that the LCM of 668,338,385,994,819 is 27773125380.
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FAQs on LCM of 668, 338, 385, 994, 819
1. What is the LCM of 668, 338, 385, 994, 819?
Answer: LCM of 668, 338, 385, 994, 819 is 27773125380.
2. How to calculate the LCM of 668, 338, 385, 994, 819?
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 668, 338, 385, 994, 819.
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}.