BECE Mathematics 2016 Paper

Concept:The Least Common Multiple (LCM) is found by taking each prime factor the greatest number of times it appears in any number.Explanation:Write the prime factorisation of each number.$5 = 5$$10 = 2 \times 5$$12 = 2^2 \times 3$For the LCM, use the highest power of each prime factor present.The greatest power of $2$ is $2^2$.The greatest power of $3$ is $3$.The greatest power of $5$ is $5$.Therefore, the LCM is $2^2 \times 3 \times 5$.Answer:$2^2 \times 3 \times 5$ (Option C).