The ratio of two numbers is \(3:4\) and their HCF is 7. Their LCM is:
84
Since the ratio of the numbers is \(3:4\) and their HCF is 7, the numbers are \(3 \times 7 = 21\) and \(4 \times 7 = 28\).
LCM \(= \dfrac{\text{product of the numbers}}{\text{HCF}} = \dfrac{21 \times 28}{7}\).
\(= \dfrac{588}{7} = 84\).
Hence, their LCM is 84.
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Important Questions from LCM and HCF
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A and B are two prime numbers such that A > B and their LCM is 209. The value of A 2 - B is:
Find the least number which when divided by 12, 18, 24 and 30 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.
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