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
- 8 : 1
- 14 : 3
- 14 : 7
- 2 : 1
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.
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