5th Class
Mathematics
Factors and Multiples
Question Bank
Multiples and Factors
question_answer
The smallest 4-digit number exactly divisible by 12, 15, 20 and 35 is _____.
A)1,000
B)1,160
C)1,260
D)none of these
Correct Answer:
C
Solution :
The smallest 4-digit = 1000 Now L.C.M of 12, 15, 20 and 35 L.C.M \[=2\times 2\times 3\times 5\times 7=420\] We divide 1000 by 420 \[\therefore \]The least 4-digit number that is exactly divisible by 12 15 20 and 35 = 1000 + (420 - 160) = 1000 + 260 = 1.260