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Can two number have 18 as their HCF and ...

Can two number have 18 as their HCF and 380 as their LCM? Give reason

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To determine whether two numbers can have 18 as their HCF (Highest Common Factor) and 380 as their LCM (Lowest Common Multiple), we can follow these steps: ### Step 1: Understand the relationship between HCF and LCM The relationship between the HCF and LCM of two numbers \( a \) and \( b \) is given by the formula: \[ \text{HCF} \times \text{LCM} = a \times b \] This means that the product of the HCF and LCM of two numbers is equal to the product of the numbers themselves. ...
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Knowledge Check

  • Two numbers have 16 as their HCF and 146 as their LCM. How many such pairs of numbers are there ?

    A
    Zero
    B
    Only I
    C
    Only 2
    D
    Many
  • Two numbers are in ratio 2:5 and their HCF is 18. Their LCM is.

    A
    180
    B
    36
    C
    90
    D
    188
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