Mathematics
NULL
Medium
Question
HCF of 3240, 3600 and a third number is 36 and their LCM is 2⁴ × 3⁵ × 5² × 7². The third number is ___________?
A
2² × 3⁵ × 7²
✓ Official correct answer
B
2² × 5³ × 7²
C
2⁵ × 5² × 7²
D
2³ × 3⁵ × 7²
Community credibility
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A
2² × 3⁵ × 7²
No member explanations yet for this option.
B
2² × 5³ × 7²
No member explanations yet for this option.
C
2⁵ × 5² × 7²
No member explanations yet for this option.
D
2³ × 3⁵ × 7²
No member explanations yet for this option.
Explanation
With HCF 2²×3² and LCM 2⁴×3⁵×5²×7², matching the other two numbers’ primes gives the third as 2² × 3⁵ × 7².