A squareoom is covered by a number of whole rectangular slabs of sides 60cmby42cm.calculate the least possible area of the room in square metres

42 = 2*3*7

60 = 2^2 * 3 * 5
you need a common multiple which is a perfect square, which would be
2^2 * 3^2 * 5^2 * 7^2 = 210^2
42*1050 = 60*735 = 210^2