Question

Find the least number , when divided by 18,24,30 and 42 , will leave in each case the same remainder 1.

Answer 1

first find the lcm and add 1 to this lcm
lcm of 18,24,30 and

42=2*2*3*3*5*5*7=6240
then,add 1 to this lcm,we get=6240+1=6241

6241 is the least number which when divided by 18,24,30 and 42 and leaves remainder 1

Answer 2

find lcm and add 1
42=2×2×3×3×5×5×7=6240
=6240+1=6241

so , the least no. is 6241