Question:
The LCM of 28, 60, 120 and 135 is:
(a) 7626
(b) 7560
(c) 7608
(d) 7569
28, 60, 120 और 135 का लघुत्तम समापवर्त्य (LCM) क्या है?
(a) 7626
(b) 7560
(c) 7608
(d) 7569
Correct Answer: (b)
Explanation:
Detailed Explanation: Prime factors:
120 = 2^3 × 3 × 5
135 = 3^3 × 5
28 = 2^2 × 7
LCM = 2^3 × 3^3 × 5 × 7 = 8 × 27 × 5 × 7 = 7560.
विस्तृत व्याख्या: अभाज्य गुणनखंड:
120 = 2³ × 3 × 5
135 = 3³ × 5
28 = 2² × 7
LCM = 8 × 27 × 5 × 7 = 7560।