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If (L) is the LCM and (H) is the HCF of (2^4\times3^7\times5) and (2^6\times3^3\times5^4), what will be the powers of (3) in (L) and (H) respectively?
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Answer and explanation
Correct answer: (7) and (3)
Step 1: LCM takes the higher power, while HCF takes the lower power. Step 2: The powers of (3) are (7) and (3), so (L) has (7) and (H) has (3). Step 3: Keep the higher-power and lower-power rules separate.
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What is the correct answer to this question?
(7) and (3)
Why is this the correct answer?
Step 1: LCM takes the higher power, while HCF takes the lower power. Step 2: The powers of (3) are (7) and (3), so (L) has (7) and (H) has (3). Step 3: Keep the higher-power and lower-power rules separate.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.
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