If HCF(2520, 6600) = 120, and LCM(2520, 6600) = 252k, then the value of k is
Question
If HCF(2520, 6600) = 120, and LCM(2520, 6600) = 252k, then the value of k is
Solution
To find the value of k, we need to use the relationship between the Highest Common Factor (HCF), the Least Common Multiple (LCM), and the two numbers in question. This relationship is expressed as:
HCF(a, b) * LCM(a, b) = a * b
We know that HCF(2520, 6600) = 120 and LCM(2520, 6600) = 252k. We can substitute these values into the equation:
120 * 252k = 2520 * 6600
Solving for k, we get:
k = (2520 * 6600) / (120 * 252)
After simplifying, we find that k = 220.
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