The LCM of two numbers is 2079 and their HCF is 27. If one of the numbers is 189, what is the other number?
The LCM of two numbers is 2079 and their HCF is 27. If one of the numbers is 189, what is the other number?
दो संख्याओं का ल०स० 2079 है और उनका म०स० 27 है। यदि एक संख्या 189 है, तो दूसरी संख्या क्या है
Detailed Solution & Logic
Correct Answer:
297
Use the relation:
Product of two numbers = LCM × HCF
Step 1:
Let the other number be $x$
$189 \times x = 2079 \times 27$
Step 2:
$x = \frac{2079 \times 27}{189}$
Since $189 = 27 \times 7$,
$x = \frac{2079 \times 27}{27 \times 7} = \frac{2079}{7}$
Step 3:
$x = 297$
Similar Practice Questions
Find the HCF of 153, 117 and 405.
Find the HCF of 153, 117 and 405. 153,117 और 405 (HCF) ज्ञात कीजिए।
LCM and HCF of two numbers are 66 and 11
LCM and HCF of two numbers are 66 and 11 respectively. If one of the...
The LCM and HCF of two numbers are 144 and 8 respectively. If one of the numbers is 16, find the other number.
The LCM and HCF of two numbers are 144 and 8 respectively. If one of...
Find the Highest Common Factor (HCF) of the numbers 310, 208, and 180.
Find the Highest Common Factor (HCF) of the numbers 310, 208, and 180. संख्या 310,...
Find the least common multiple (LCM) of 30, 13, 180, and 234.
Find the least common multiple (LCM) of 30, 13, 180, and 234. 30, 13, 180,...
LCM and HCF of two numbers are 168 and 14
LCM and HCF of two numbers are 168 and 14 respectively. If one of the...
The HCF of two numbers is 11
The HCF of two numbers is 11 and their sum is 132. If both the...