BECE Mathematics 2019 Paper

Concept:The L.C.M. is the smallest number that is divisible by all the given numbers without leaving a remainder.Explanation:List the multiples of each number and find the smallest one common to all three lists. Multiples of 2: $2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30$ Multiples of 3: $3, 6, 9, 12, 15, 18, 21, 24, 27, 30$ Multiples of 5: $5, 10, 15, 20, 25, 30$ The first common multiple that appears in all three lists is $30$. Since $2$, $3$, and $5$ are prime numbers with no common factor, the L.C.M. can also be found directly by multiplying them: $2 \times 3 \times 5 = 30$.Answer:D. $30$