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If (L) is the LCM and (H) is the HCF of (2^6\times3^2\times5) and (2^4\times3^5\times5^2), what will be the powers of (2) in (L) and (H) respectively?
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Answer and explanation
Correct answer: (6) and (4)
Step 1: LCM takes the higher power of (2), and HCF takes the lower power. Step 2: The powers are (6) and (4), so (L) has power (6) and (H) has power (4). Step 3: Do not interchange the power rules of LCM and HCF.
Frequently asked questions
What is the correct answer to this question?
(6) and (4)
Why is this the correct answer?
Step 1: LCM takes the higher power of (2), and HCF takes the lower power. Step 2: The powers are (6) and (4), so (L) has power (6) and (H) has power (4). Step 3: Do not interchange the power rules of LCM and HCF.
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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