Given LCM and HCF of Two Numbers, Find the Other Number

Video Explanation

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Solution

Question: The LCM and HCF of two numbers are 180 and 6 respectively. If one of the numbers is 30, find the other number.

Step 1: Use the Relation Between LCM and HCF

For any two positive integers a and b,

a × b = LCM (a, b) × HCF (a, b)

Step 2: Substitute the Given Values

Let the other number be x.

30 × x = 180 × 6

Step 3: Find the Value of the Other Number

x = (180 × 6) ÷ 30

x = 1080 ÷ 30

x = 36