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Question : The LCM of the two numbers is 840 and their HCF is 7. If one of the numbers is 56, find the other.

Option 1: 120

Option 2: 112

Option 3: 105

Option 4: 84


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: 105


Solution : Given that the LCM is 840, the HCF is 7 and one of the numbers is 56.
Let the other number be $x$.
We know, LCM × HCF = Number1 × Number2
Substituting the given values into the equation:
$⇒840 × 7 = 56 × x$
$\therefore x = 105$
Hence, the correct answer is 105.

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