LCM and HCF
- The HCF and product of two numbers are 15 and 6300 respectively. The number of possible pairs of the numbers is
-
View Hint View Answer Discuss in Forum
Here , HCF = 15
Let the number be 15p and 15q, where p and q are co – prime.
With the help of the given formula ,
HCF × LCM = Product of two numbers
∴ 15p × 15q = 6300⇒ pq = 6300 = 28 15 × 15
Correct Option: C
Here , HCF = 15
Let the number be 15p and 15q, where p and q are co – prime.
With the help of the given formula ,
HCF × LCM = Product of two numbers
∴ 15p × 15q = 6300⇒ pq = 6300 = 28 15 × 15
So, two pairs are ( 7 , 4 ) and ( 14 , 2 ) .
Hence , required answer is 2.
- The HCF and LCM of two numbers are 18 and 378 respectively. If one of the number is 54, then the other number is
-
View Hint View Answer Discuss in Forum
Given , LCM = 378 , HCF = 18 , First number = 54 , Second number = ?
As We know that ,Second number = HCF × LCM First number
Correct Option: A
Given , LCM = 378 , HCF = 18 , First number = 54 , Second number = ?
As We know that ,Second number = HCF × LCM First number Second number = 18 × 378 = 126 54
- The product of two numbers is 216. If the HCF is 6, then their LCM is
-
View Hint View Answer Discuss in Forum
Let the numbers be 6p and 6q where p and q are prime to each other.
∴ 6p × 6q = 216⇒ pq = 216 = 6 6 × 6
Correct Option: D
Let the numbers be 6p and 6q where p and q are prime to each other.
∴ 6p × 6q = 216⇒ pq = 216 = 6 6 × 6
∴ LCM = 6pq = 6 × 6 = 36
- The H.C.F and L.C.M of two numbers are 12 and 336 respectively. If one of the number is 84, the other is
-
View Hint View Answer Discuss in Forum
Here , LCM = 336 , HCF = 12 , First number = 84, Second number = ?
We can find other number with the help of the given formula ,
First number × second number = HCF × LCM
⇒ 84 × second number = 12 × 336Correct Option: B
Here , LCM = 336 , HCF = 12 , First number = 84, Second number = ?
We can find other number with the help of the given formula ,
First number × second number = HCF × LCM
⇒ 84 × second number = 12 × 336∴ Second number = 12 × 336 = 48 84
- The H.C.F. and L.C.M. of two numbers are 8 and 48 respectively. If one of the number is 24, then the other number is
-
View Hint View Answer Discuss in Forum
Here , LCM = 48 , HCF = 8 , First number = 24 , Second number = ?
As We know that ,
First number × second number = HCF × LCM
⇒ 24 × second number = 8 × 48∴ Second number = 8 × 48 24 Correct Option: D
Here , LCM = 48 , HCF = 8 , First number = 24 , Second number = ?
As We know that ,
First number × second number = HCF × LCM
⇒ 24 × second number = 8 × 48∴ Second number = 8 × 48 = 16 24