LCM of 412, 116, 262, 886, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 116, 262, 886, 667 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 412, 116, 262, 886, 667. So, keep reading to learn more.
Given numbers are 412,116,262,886,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,116,262,886,667 is 15947700532.
Find LCM of 412,116,262,886,667 with Prime Factorization
| 2 | 412, 116, 262, 886, 667 |
| 2 | 206, 58, 131, 443, 667 |
| 29 | 103, 29, 131, 443, 667 |
| 103, 1, 131, 443, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 103 x 1 x 131 x 443 x 23 = 15947700532
Therefore, the lowest common multiple of 412,116,262,886,667 is 15947700532.
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.
412 x 116 x 262 x 886 x 667 = 7399733046848
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.
412 : 1, 2, 4, 103, 206, 412
116 : 1, 2, 4, 29, 58, 116
262 : 1, 2, 131, 262
886 : 1, 2, 443, 886
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,116,262,886,667, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
116:2x 2x 29
262:2x 131
886:2x 443
667:23x 29
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 29 = 464
Therefore, the value for common factors is 464.
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 = 7399733046848/(1x464)
LCM = 7399733046848/464
LCM = 15947700532
Thus, we can understand that the LCM of 412,116,262,886,667 is 15947700532.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 412, 116, 262, 886, 667
1. What is the LCM of 412, 116, 262, 886, 667?
Answer: LCM of 412, 116, 262, 886, 667 is 15947700532.
2. How to calculate the LCM of 412, 116, 262, 886, 667?
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 412, 116, 262, 886, 667.
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}.