LCM of 611, 687, 824, 834, 188
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 611, 687, 824, 834, 188 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 611, 687, 824, 834, 188. So, keep reading to learn more.
Given numbers are 611,687,824,834,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,687,824,834,188 is 48077287752.
Find LCM of 611,687,824,834,188 with Prime Factorization
| 2 | 611, 687, 824, 834, 188 |
| 2 | 611, 687, 412, 417, 94 |
| 3 | 611, 687, 206, 417, 47 |
| 47 | 611, 229, 206, 139, 47 |
| 13, 229, 206, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 13 x 229 x 206 x 139 x 1 = 48077287752
Therefore, the lowest common multiple of 611,687,824,834,188 is 48077287752.
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.
611 x 687 x 824 x 834 x 188 = 54231180584256
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.
611 : 1, 13, 47, 611
687 : 1, 3, 229, 687
824 : 1, 2, 4, 8, 103, 206, 412, 824
834 : 1, 2, 3, 6, 139, 278, 417, 834
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,687,824,834,188, is 1.
Now, the common factors can be found like this.
611:13x 47
687:3x 229
824:2x 2x 2x 103
834:2x 3x 139
188:2x 2x 47
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 3x 47 = 1128
Therefore, the value for common factors is 1128.
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 = 54231180584256/(1x1128)
LCM = 54231180584256/1128
LCM = 48077287752
Thus, we can understand that the LCM of 611,687,824,834,188 is 48077287752.
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FAQs on LCM of 611, 687, 824, 834, 188
1. What is the LCM of 611, 687, 824, 834, 188?
Answer: LCM of 611, 687, 824, 834, 188 is 48077287752.
2. How to calculate the LCM of 611, 687, 824, 834, 188?
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 611, 687, 824, 834, 188.
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}.