Lowest common multiple and highest common factor — methods and word problems.
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Q1 · LCM and HCF · EASY
Find the HCF of 48 and 72 using the prime factorisation method.
Q2 · LCM and HCF · MEDIUM
The LCM of two numbers is 180 and their HCF is 15. If one number is 45, find the other number.
Q3 · LCM and HCF · MEDIUM
Three bells ring at intervals of 6, 8, and 12 minutes respectively. If they all ring together at 8:00 AM, at what time will they ring together again?
Q4 · LCM and HCF · HARD
Find the smallest number which when divided by 12, 15, 20, and 27 leaves a remainder of 7 in each case.
Q5 · LCM and HCF · EASY
The HCF of two numbers is 12 and their LCM is 180. If one of the numbers is 36, what is the other number?