The L.C.M of two numbers is 1890 and their H.C.F is 30. If one of them is 270, the other will beOptions210212216217
Question
The L.C.M of two numbers is 1890 and their H.C.F is 30. If one of them is 270, the other will be:
Options:
- 210
- 212
- 216
- 217
Solution
The problem is asking for the second number given the LCM (Least Common Multiple), HCF (Highest Common Factor), and one of the numbers.
Here are the steps to solve the problem:
Step 1: Understand that the product of two numbers is equal to the product of their LCM and HCF. This is a key property of numbers.
Step 2: Use the given values to set up the equation. We know that LCM * HCF = Number1 * Number2. Substituting the given values, we get 1890 * 30 = 270 * Number2.
Step 3: Solve the equation for Number2. Divide both sides of the equation by 270 to isolate Number2.
Number2 = (1890 * 30) / 270
Step 4: Calculate the value to get Number2 = 210.
So, the other number is 210.
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