What is the L.C.M of a 8 and 12 b 16 and 20 c 21 and 18

To find the Least Common Multiple (L.C.M), we can use the prime factorization approach or the relationship between the Greatest Common Divisor (G.C.D) and L.C.M. For 8 and 12, the prime factors are 2³ (for 8) and 2² × 3¹ (for 12). The L.C.M is calculated by taking the highest power of each prime: L.C.M = 2³ × 3¹ = 24. For 16 and 20, the prime factors are 2⁴ (for 16) and 2² × 5¹ (for 20). The L.C.M here is 2⁴ × 5¹ = 80. For 21 and 18, the factors are 3² (for 18) and 7¹ × 3¹ (for 21). Therefore, the L.C.M = 2⁰ × 3² × 7¹ = 126. So, the L.C.M of each set is: a) 24 b) 80 c) 126