Question : The LCM of the two numbers is 2079, and their HCF is 27. If one of the numbers is 189, then the other number is:
Option 1: 297
Option 2: 584
Option 3: 189
Option 4: 216
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Correct Answer: 297
Solution :
Given: LCM of two numbers = 2079
HCF of two numbers = 27
We know that,
1
st
number × 2
nd
number = LCM × HCF
⇒ 189 × 2
nd
number = 2079 × 27
⇒ 2
nd
number = $\frac{2079\times27}{189}$ = 297
Hence, the correct answer is 297.
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