Question : Find the LCM of 20, 30, 45, and 65.
Option 1: 2000
Option 2: 2340
Option 3: 2240
Option 4: 180
Correct Answer: 2340
Solution : Given: The numbers are 20, 30, 45, and 65. The LCM of the provided numbers is the product of the factors with the highest powers. The factors of the number 20 = 22 × 5 The factors of the number 30 = 2 × 3 × 5 The factors of the number 45 = 32 × 5 The factors of the number 65 = 5 × 13 LCM of (20, 30, 45, 65) = 22 × 32 × 5 × 13 = 2340 Hence, the correct answer is 2340.
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Question : The LCM and HCF of the two numbers are 1105 and 5. If the LCM is 17 times the first number, then find the two numbers.
Option 1: 65 and 85
Option 2: 55 and 85
Option 3: 65 and 75
Option 4: 60 and 80
Question : Find the LCM of 25, 30, 50, and 75.
Option 1: 15.0
Option 2: 150
Option 3: 1.50
Option 4: 75
Question : Find the HCF of 240, 280, and 560.
Option 1: 30
Option 2: 10
Option 3: 20
Option 4: 40
Question : Determine the LCM of two numbers if their HCF is 12 and their ratio is 13 : 15.
Option 1: 1780
Option 2: 2450
Option 3: 1890
Option 4: 2340
Question : The LCM of $x$ and $y$ is 441 and their HCF is 7. If $x$ = 49 then find $y$.
Option 1: 56
Option 2: 36
Option 3: 65
Option 4: 63
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