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 beOptions210222211231
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
- 222
- 211
- 231
Solution
The problem is asking for the second number given that the Least Common Multiple (LCM) of two numbers is 1890, their Highest Common Factor (HCF) is 30, and one of the numbers is 270.
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 can be written as: (Number 1) * (Number 2) = LCM * HCF
Step 2: Substitute the given values into the equation. We know one number is 270, the LCM is 1890, and the HCF is 30. So, 270 * (Number 2) = 1890 * 30
Step 3: Solve for the second number. Divide both sides of the equation by 270 to isolate "Number 2".
(Number 2) = (1890 * 30) / 270
Step 4: Calculate the value to find that the second number is 210.
So, the other number is 210.
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