LCM of 834, 385, 195, 308, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 385, 195, 308, 678 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 834, 385, 195, 308, 678. So, keep reading to learn more.
Given numbers are 834,385,195,308,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,385,195,308,678 is 943362420.
Find LCM of 834,385,195,308,678 with Prime Factorization
| 2 | 834, 385, 195, 308, 678 |
| 3 | 417, 385, 195, 154, 339 |
| 5 | 139, 385, 65, 154, 113 |
| 7 | 139, 77, 13, 154, 113 |
| 11 | 139, 11, 13, 22, 113 |
| 139, 1, 13, 2, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 139 x 1 x 13 x 2 x 113 = 943362420
Therefore, the lowest common multiple of 834,385,195,308,678 is 943362420.
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.
834 x 385 x 195 x 308 x 678 = 13075003141200
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
385 : 1, 5, 7, 11, 35, 55, 77, 385
195 : 1, 3, 5, 13, 15, 39, 65, 195
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,385,195,308,678, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
385:5x 7x 11
195:3x 5x 13
308:2x 2x 7x 11
678:2x 3x 113
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 3x 3x 5x 7x 11 = 13860
Therefore, the value for common factors is 13860.
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 = 13075003141200/(1x13860)
LCM = 13075003141200/13860
LCM = 943362420
Thus, we can understand that the LCM of 834,385,195,308,678 is 943362420.
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FAQs on LCM of 834, 385, 195, 308, 678
1. What is the LCM of 834, 385, 195, 308, 678?
Answer: LCM of 834, 385, 195, 308, 678 is 943362420.
2. How to calculate the LCM of 834, 385, 195, 308, 678?
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 834, 385, 195, 308, 678.
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}.