Question:
The LCM of 56, 30, 108 and 120 is:
56, 30, 108 और 120 का ल.स. (LCM) क्या है?
Options:
- 7471
- 7560
- 7660
- 7549
- 7471
- 7560
- 7660
- 7549
Correct Answer: (b)
Explanation:
Detailed Explanation: Prime factorizations: 56 = 2^3 × 7, 30 = 2 × 3 × 5, 108 = 2^2 × 3^3, 120 = 2^3 × 3 × 5. LCM = 2^3 × 3^3 × 5 × 7 = 8 × 27 × 5 × 7 = 7560.
विस्तृत व्याख्या: अभाज्य गुणनखंड: 56 = 2³ × 7, 30 = 2 × 3 × 5, 108 = 2² × 3³, 120 = 2³ × 3 × 5। LCM = 2³ × 3³ × 5 × 7 = 7560।