LCM and HCF
 Product of two coprime numbers is 117. Then their L.C.M. is

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HCF of twoprime numbers = 1
As we know that ,
Product of numbers = LCM × HCF
∴ Product of numbers = LCM × 1 = 117
Their LCM = 117 = 13 × 9 , where 13 & 9 are coprime.Correct Option: A
HCF of twoprime numbers = 1
As we know that ,
Product of numbers = LCM × HCF
∴ Product of numbers = LCM × 1 = 117
Their LCM = 117 = 13 × 9 , where 13 & 9 are coprime.
L.C.M ( 13 , 9 ) = 117.
 The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is

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Let LCM be L and HCF be H, then
According to question ,
L = 4H
sum of LCM and HCF = 125
⇒ H + 4H = 125
⇒ 5H = 125⇒ H = 125 = 25 5
∴ L = 4 × 25 = 100
Correct Option: B
Let LCM be L and HCF be H, then
According to question ,
L = 4H
sum of LCM and HCF = 125
⇒ H + 4H = 125
⇒ 5H = 125⇒ H = 125 = 25 5
∴ L = 4 × 25 = 100∴ Second number = L × H First number Second number = 100 × 25 = 25 100
 The H.C.F. of two numbers is 96 and their L.C.M. is 1296. If one of the number is 864, the other is

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Here , LCM = 1296 , HCF = 96 , First number = 864 , Second number = ?
As We know that ,
First number × Second number = HCF × LCM
⇒ 864 × Second number = 96 × 1296Correct Option: D
Here , LCM = 1296 , HCF = 96 , First number = 864 , Second number = ?
As We know that ,
First number × Second number = HCF × LCM
⇒ 864 × Second number = 96 × 1296⇒ Second number = 96 × 1296 = 144 864
 The LCM of two numbers is 520 and their HCF is 4. If one of the number is 52, then the other number is

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Given that , LCM = 520 , HCF = 4 , First number = 52, Second number = ?
We can find other number with the help of the given formula ,
First number × second number = HCF × LCM
⇒ 52 × second number = 4 × 520Correct Option: A
Given that , LCM = 520 , HCF = 4 , First number = 52, Second number = ?
We can find other number with the help of the given formula ,
First number × second number = HCF × LCM
⇒ 52 × second number = 4 × 520⇒ Second number = 4 × 520 = 40 52
 The HCF of two numbers is 15 and their LCM is 225. If one of the number is 75, then the other number is :

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Given , LCM = 225 , HCF = 15 , First number = 75 , Second number = ?
As We know that ,
First number × Second number = HCF × LCM
⇒ 75 × Second number = 15 × 225∴ Second number = 15 × 225 75 Correct Option: D
Given , LCM = 225 , HCF = 15 , First number = 75 , Second number = ?
As We know that ,
First number × Second number = HCF × LCM
⇒ 75 × Second number = 15 × 225∴ Second number = 15 × 225 = 45 75