Question

find the least number which when increased by 5 is divisible by 12 14 18 and 21

Answer 1

Your answer is 247
Take lcm of these no. and subtract 5 from it

Answer 2

$hey - \geqslant \geqslant \\ \\ lcm \: of \: 12,14,18,21 \\ \\ 12 = > 2 \times 2 \times 3 = 2^{2} \times 3 \\ \\ 14 = 2 \times 7 \\ \\ 18 = > 2 \times 3 \times 3 = 2 \times 3^{2} \\ \\ 21 = 3 \times 7 \\ \\ lcm - \geqslant \geqslant \\ \\ 2^{2} \times 3 ^{2} \times 7 \\ \\ = 9 \times 4 \times 7 \\ \\ = 252 \\ \\ Least \: \: number = 252 - 5 \\ \\ = 247$