If the sum of two co-prime numbers is 28 what can be the maximum value of lcm of those numbers
Answers
Answer:
The maximum value of lcm of both numbers will be 1..
Step-by-step explanation:
As one number can be 23 and the another number can be 5 so the lcm of both the numbers will be 1
Answer:
The maximum value of LCM of those numbers is 195.
Step-by-step explanation:
Given,the sum of two co-prime numbers is 28.
We know if two numbers have common factor one then they are called co-prime numbers to each other.
Now possible co-prime numbers whose sum is 28 are
1) 1 and 27
2) 3 and 25
4) 5 and 23
5) 9 and 19
6) 11 and 17
7) 13 and 15
We know LCM means Lowest Common Multiple.
1) LCM of 1 and 27 is 27.
2) LCM of 3 and 25 is 75
3) LCM of 5 and 23 is 115
4) LCM of 9 and 19 is 171
5) LCM of 11 and 17 is 187
6) LCM of 13 and 15 is 195
Therefore the maximum value of LCM of those numbers is 195.
This is a problem of Algebra.
Some more Algebra formulas.
(a + b)² = a² + 2ab + b²
(a − b)² = a² − 2ab − b²
(a + b)³ = a³ + 3a²b + 3ab² + b³
(a - b)³ = a³ - 3a²b + 3ab² - b³
a³ + b³ = (a + b)³ − 3ab(a + b)
a³ - b³ = (a -b)³ + 3ab(a - b)
a² − b² = (a + b)(a − b)
a² + b² = (a + b)² − 2ab
a² + b² = (a − b)² + 2ab
a³ − b³ = (a − b)(a² + ab + b²)
a³ + b³ = (a + b)(a² − ab + b²)
Know more about Algebra,
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