If the number is divisible by 35,56 and 91 then it is the LCM of these numbers. ∴ Find the by prime factorisation35=5×7    56=23×7    91=7×13∴ LCMof 35,56,91=23×5×7×13=3,640∴ The least number divisible by 35,56 and 91 is 3,640.Since it leaves a remainder 7, the required number is 3,640+7=3,647