The lcm of two numbers is 40 one of the numbers is 5 what is the other numbers
40/5 = ?
LCM of two numbers 40
One numbers is 5
So other number is 8
It could either be 8 or 40
You could check it this way,
FIND THE LCM:
40 and 5
5 and 8
10
To find the other number when the LCM (Least Common Multiple) and one of the numbers are given, we can use the formula:
LCM = (number1 * number2) / GCD(number1, number2)
Here, we are given that the LCM is 40 and one of the numbers is 5. Let's substitute these values into the formula:
40 = (5 * number2) / GCD(5, number2)
To find the other number, we need to determine the Greatest Common Divisor (GCD) of 5 and the unknown number (number2). Since a number and its factors have a GCD of 1, we know that 5 is a factor of the unknown number.
Therefore, the possible values for number2 would be any multiple of 5 that results in an LCM of 40. Let's calculate the possible values by multiplying 5 by integers until we get an LCM of 40:
5 * 1 = 5 (LCM = 40 * 5 / GCD(5, 5) = 40)
5 * 2 = 10 (LCM = 40 * 10 / GCD(5, 10) = 40)
5 * 8 = 40 (LCM = 40 * 40 / GCD(5, 40) = 40)
Therefore, the other numbers that satisfy the given conditions are 10 and 8.