LCM of 811, 390, 991, 935, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 390, 991, 935, 162 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 811, 390, 991, 935, 162. So, keep reading to learn more.
Given numbers are 811,390,991,935,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,390,991,935,162 is 1582575676110.
Find LCM of 811,390,991,935,162 with Prime Factorization
| 2 | 811, 390, 991, 935, 162 |
| 3 | 811, 195, 991, 935, 81 |
| 5 | 811, 65, 991, 935, 27 |
| 811, 13, 991, 187, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 811 x 13 x 991 x 187 x 27 = 1582575676110
Therefore, the lowest common multiple of 811,390,991,935,162 is 1582575676110.
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.
811 x 390 x 991 x 935 x 162 = 47477270283300
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.
811 : 1, 811
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
991 : 1, 991
935 : 1, 5, 11, 17, 55, 85, 187, 935
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,390,991,935,162, is 1.
Now, the common factors can be found like this.
811:811
390:2x 3x 5x 13
991:991
935:5x 11x 17
162:2x 3x 3x 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 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 47477270283300/(1x30)
LCM = 47477270283300/30
LCM = 1582575676110
Thus, we can understand that the LCM of 811,390,991,935,162 is 1582575676110.
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FAQs on LCM of 811, 390, 991, 935, 162
1. What is the LCM of 811, 390, 991, 935, 162?
Answer: LCM of 811, 390, 991, 935, 162 is 1582575676110.
2. How to calculate the LCM of 811, 390, 991, 935, 162?
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 811, 390, 991, 935, 162.
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}.