1. The L.C.M of the numbers is 420 and their GCD is 3. If one of the numbers is 60, what is the other number?
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to your questions:
1. The L.C.M of the numbers is 420 and their GCD is 3. If one of the numbers is 60, what is the other number?
Let the two numbers be $a$ and $b$.
Given:
LCM$(a, b) = 420$
GCD$(a, b) = 3$
One number, $a = 60$
Step 1: Use the formula: LCM$(a, b) \times$ GCD$(a, b) = a \times b$.
$$420 \times 3 = 60 \times b$$
Step 2: Simplify the equation.
$$1260
