If LCM of two number is 693, HCF of two numbers is 11 and one number is 99,…
2025
If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other
Answer: C. 77 — Key formula: product of two numbers = LCM × HCF. Given: one number = 99, LCM = 693, HCF = 11. Compute LCM × HCF = 693 × 11 = 7623. Other number = (LCM × HCF)…
- A.
12
- B.
45
- C.
77
- D.
34
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Correct answer: C
Key formula: product of two numbers = LCM × HCF.
Given: one number = 99, LCM = 693, HCF = 11.
Compute LCM × HCF = 693 × 11 = 7623.
Other number = (LCM × HCF) ÷ given number = 7623 ÷ 99 = 77.
Verification: gcd(99, 77) = 11 and lcm(99, 77) = (99 × 77) ÷ 11 = 693, so 77 satisfies both conditions.
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