Question : The HCF of the two numbers is 21 and their LCM is 840. If one of the numbers is 49, then the other number is:
Option 1: 650
Option 2: 540
Option 3: 810
Option 4: 360
Correct Answer: 360
Solution :
We have,
The HCF of two numbers = 21
and The LCM of two numbers = 840
One number = 49
Let the other number be $x$.
We know the product of two numbers = HCF $\times$ LCM
⇒ 49$x$ = 21 × 840
$\therefore x$ = $\frac{21\times840}{49}$ = 360
Hence, the correct answer is 360.
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