HCF x LCM = product of the two numbers: find the other number

This type of question, asked 3 times: CDS 2 2020, CDS 2 2021, CDS 1 2026. All 3 questions below, oldest first.

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Question 1
CDS 2 2020
9 $LCM of two numbers is 28 times their HCF. The sum of the HCF and the LCM is 1740. If one of these numbers is 240, then what is the other number ?$
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Question 2
CDS 2 2021
5 $The sum of LCM and HCF of two numbers is 536 and the difference between LCM and HCF is 296. If one of the numbers is 104, then what is the other number ?$
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Question 3
CDS 1 2026
23 $The HCF and LCM of two numbers p and q are 44 and 4620 respectively. When p is divided by 55, the quotient is 4 and remainder is 0. What is the value of q ?$
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Question 1