LCM and HCF
 The product of two numbers is 1280 and their H.C.F. is 8. The L.C.M. of the number will be :

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Given that , Product of two numbers = 1280
HCF = 8 , LCM = ?
We can find LCM with the help of the given formula ,
HCF × LCM = Product of two numbers
⇒ 8 × LCM = 1280Correct Option: A
Given that , Product of two numbers = 1280
HCF = 8 , LCM = ?
We can find LCM with the help of the given formula ,
HCF × LCM = Product of two numbers
⇒ 8 × LCM = 1280⇒ LCM = 1280 = 160 8
 The LCM of two numbers is 30 and their HCF is 5. One of the number is 10. The other is

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Here , LCM = 30 , HCF = 5 , First number = 10, Second number = 14818
As we know that ,
First number × second number = LCM × HCF
Let the second number be p.
∴ 10p = 30 × 5⇒ p = 30 × 5 10 Correct Option: C
Here , LCM = 30 , HCF = 5 , First number = 10, Second number = 14818
As we know that ,
First number × second number = LCM × HCF
Let the second number be p.
∴ 10p = 30 × 5⇒ p = 30 × 5 = 15 10
 The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is

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Here , HCF and LCM of two numbers are 12 and 924 .
Let the numbers be 12p and 12q where p and q are prime to each other.
∴ LCM = 12pq
∴ 12pq = 924
⇒ pq = 77Correct Option: C
Here , HCF and LCM of two numbers are 12 and 924 .
Let the numbers be 12p and 12q where p and q are prime to each other.
∴ LCM = 12pq
∴ 12pq = 924
⇒ pq = 77
∴ Possible pairs = ( 1 , 77 ) and ( 7 ,11 )
Hence , required answer is 2.
 The HCF of two numbers is 15 and their LCM is 300. If one of the number is 60, the other is :

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Given that , LCM = 300 , HCF = 15 , First number = 60 , Second number = ?
With the help of the given formula ,
First number × Second number = HCF × LCM∴ Second number = 15 × 300 60 Correct Option: B
Given that , LCM = 300 , HCF = 15 , First number = 60 , Second number = ?
With the help of the given formula ,
First number × Second number = HCF × LCM∴ Second number = 15 × 300 = 75 60
 The product of two numbers is 4107. If the H.C.F. of the numbers is 37, the greater number is

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We can find required answer with the help of given formula ,
LCM = Product of two numbers HCF LCM = 4107 = 111 37
Correct Option: B
We can find required answer with the help of given formula ,
LCM = Product of two numbers HCF LCM = 4107 = 111 37
Obviously, numbers are 111 and 37 which satisfy the given condition.
Hence, the greater number = 111