Lcm of two numbers is 40.one number is 5 find the other number
well, 5*8 = 40
To find the other number when the least common multiple (LCM) is 40 and one number is given as 5, you can use the formula for LCM.
LCM(a, b) = (a * b) / GCD(a, b)
Here, a is the given number 5, and the LCM is given as 40.
Step 1: Find the GCD (Greatest Common Divisor) of the given number and the LCM.
GCD(a, b) = GCD(5, 40)
You can use different methods to find the GCD, such as prime factorization or the Euclidean algorithm. In this case, using the Euclidean algorithm is quicker.
Divide 40 by 5: 40 รท 5 = 8
The remainder is 0. So, the GCD(5, 40) = 5.
Step 2: Use the formula LCM(a, b) = (a * b) / GCD(a, b) to find the other number.
LCM(5, b) = (5 * b) / 5 [Substituting the values]
Simplifying the equation, we have:
40 = b
Thus, the other number is 40.