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do all the parts a given that hcf 99 153 9 find th
Question:
Do all the parts:
(a)
Given that HCF (99, 153) = 9, find the value of LCM (99, 153).
Show Hint
Always remember the formula \( \text{HCF} \times \text{LCM} = \text{Product of the two numbers.} \)
UP Board X - 2024
UP Board X
Updated On:
Nov 6, 2025
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Solution and Explanation
Step 1: Use the formula for HCF and LCM.
\[ \text{HCF} \times \text{LCM} = \text{Product of the two numbers.} \]
Step 2: Substitute the values.
\[ 9 \times \text{LCM} = 99 \times 153 \]
Step 3: Solve for LCM.
\[ \text{LCM} = \frac{99 \times 153}{9} = 99 \times 17 = 1683 \]
Step 4: Final Answer.
\[ \boxed{\text{LCM} = 1683} \]
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