Question : Determine the LCM of two numbers if their HCF is 9 and their ratio is 14 : 19.
Option 1: 2394
Option 2: 3990
Option 3: 1596
Option 4: 3192
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Correct Answer: 2394
Solution : Given, HCF = 9 $\therefore$ 1st number = 14 × 9 = 126 Also, 2nd number = 19 × 9 = 171 ⇒ LCM of 126 and 171 = 9 × 14 × 19 = 2394 Hence, the correct answer is 2394.
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Question : Two numbers are in the ratio of 6 : 5. If their HCF is 3, then what is the LCM of the two numbers?
Option 1: 64
Option 2: 110
Option 3: 90
Option 4: 80
Question : The ratio of the two numbers is 6 : 7 and their HCF is 3. Their LCM is _____.
Option 1: 124
Option 2: 128
Option 3: 122
Option 4: 126
Question : The HCF of two numbers is 17 and the other two factors of their LCM are 11 and 19. The smaller of the two numbers is:
Option 1: 209
Option 2: 187
Option 3: 323
Option 4: 306
Question : The HCF and LCM of the two numbers are 21 and 84, respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is:
Option 1: 12
Option 2: 108
Option 3: 48
Option 4: 84
Question : What is the ratio between the HCF and LCM of the numbers whose LCM is 48 and the product of the numbers is 384?
Option 1: 1 : 4
Option 2: 1 : 6
Option 3: 1 : 3
Option 4: 2 : 5
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