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
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Correct Answer: 187
Solution : HCF = 17 LCM = 11 × 17 × 19 ⇒ Smaller number = 17 $\times$ 11 = 187 Hence, the correct answer is 187.
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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
Question : The HCF of the two numbers is 21 and their LCM is 840. If one of the numbers is 49, then the other number is:
Option 1: 650
Option 2: 540
Option 3: 810
Option 4: 360
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 : 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 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
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