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Find the ratio between the LCM and HCF of 5, 15 and 20. Options8 : 114 : 314 : 712 : 1

Question

Find the ratio between the LCM and HCF of 5, 15 and 20.

Options

  1. 8 : 1
  2. 14 : 3
  3. 14 : 7
  4. 2 : 1
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Solution

To find the ratio between the LCM and HCF of 5, 15, and 20, we first need to find the LCM and HCF of these numbers.

Step 1: Find the HCF (Highest Common Factor) The HCF of 5, 15, and 20 is the highest number that divides all of them without leaving a remainder. In this case, the HCF is 5.

Step 2: Find the LCM (Least Common Multiple) The LCM of 5, 15, and 20 is the smallest number that all of them divide into without leaving a remainder. In this case, the LCM is 60.

Step 3: Find the Ratio The ratio between the LCM and HCF is found by dividing the LCM by the HCF. In this case, 60 divided by 5 equals 12.

So, the ratio between the LCM and HCF of 5, 15, and 20 is 12:1. Therefore, the correct option is 12:1.

This problem has been solved

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