<p>To determine whether the statement "HCF of two numbers is always a factor of their LCM" is true or false, we can analyze the relationship between HCF (Highest Common Factor) and LCM (Lowest Common Multiple) using mathematical definitions and examples.
Difference Between LCM and HCF FAQ What is The Least Common Multiple (LCM)? The Least Common Multiple (LCM) is the smallest or least common multiple that two or more numbers have in common. Finding the LCM helps us determine a common reference point for the given numbers together, making...
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n1 and n2 if n1 < n2 then HCF of n1 and n2 is always less than or equal to n1 . The greatest number by which n1, n2 and n3 completely divisible is the HCF of n1, n2 and n3. The greatest number by which x, y, z divisible and gives the remainder a, b and c is the HCF ...
So, if the two bell toll together now, again they will toll together after 12 seconds. This 12 is the least common multiple (LCM) of 3 and 4. The same thing happened in our problem. To find the time, when they will all toll together, we have to find the LCM of (2, 4, 8, ...
Is it significant that 6 is a factor of 180? The factors of 6 are 1, 2, 3 and 6. How many factors of 180 are there? Could we use prime factors to find the factors of 180? Are there always four pairs? If we changed the numbers for the HCF and LCM, would there still be pairs...