find the smallest number of 4 digits which when divided by 6 8 12 and 20 leaves no reminder
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QUESTION : find the smallest number of 4 digits which when divided by 6 8 12 and 20 leaves no reminder
WHAT TO DO : FIND THE LEAST NUMBER
SOLUTION : FIRST WE WOULD FIND THE LCM OF 6 , 8, 12 AND 20
LCM = 120
SMALLEST NUMBER OF 4 DIGITS = LARGEST 4 DIGIT NUMBER ÷ 120
=9999 ÷ 120
QUOTIENT = 83
REMAINDER = 39
SMALLEST 4 DIGIT NUMBER = 9999-39 = 9960
ANSWER : 9960
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