LCM of 115, 138, 112, 928, 862
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 138, 112, 928, 862 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 115, 138, 112, 928, 862. So, keep reading to learn more.
Given numbers are 115,138,112,928,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,138,112,928,862 is 965922720.
Find LCM of 115,138,112,928,862 with Prime Factorization
| 2 | 115, 138, 112, 928, 862 |
| 2 | 115, 69, 56, 464, 431 |
| 2 | 115, 69, 28, 232, 431 |
| 2 | 115, 69, 14, 116, 431 |
| 23 | 115, 69, 7, 58, 431 |
| 5, 3, 7, 58, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 5 x 3 x 7 x 58 x 431 = 965922720
Therefore, the lowest common multiple of 115,138,112,928,862 is 965922720.
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.
115 x 138 x 112 x 928 x 862 = 1421838243840
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.
115 : 1, 5, 23, 115
138 : 1, 2, 3, 6, 23, 46, 69, 138
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,138,112,928,862, is 1.
Now, the common factors can be found like this.
115:5x 23
138:2x 3x 23
112:2x 2x 2x 2x 7
928:2x 2x 2x 2x 2x 29
862:2x 431
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 23 = 1472
Therefore, the value for common factors is 1472.
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 = 1421838243840/(1x1472)
LCM = 1421838243840/1472
LCM = 965922720
Thus, we can understand that the LCM of 115,138,112,928,862 is 965922720.
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FAQs on LCM of 115, 138, 112, 928, 862
1. What is the LCM of 115, 138, 112, 928, 862?
Answer: LCM of 115, 138, 112, 928, 862 is 965922720.
2. How to calculate the LCM of 115, 138, 112, 928, 862?
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 115, 138, 112, 928, 862.
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}.