Question
Determine the smallest 3-digit number which is exactly divisible by $6, 8$ and $12.$
✓
Answer
$\therefore L.C.M. of 6, 8$ and $12 = 2 \times 2 \times 2 \times 3 = 24$
Multiples of $24$ are $24, 48, 72, 96, 120, 144, ...$
Hence, the smallest $3-$digit number which is exactly divisible by $6, 8$ and $12$ is $120.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Solve the following equation by trial and error method:
$11 + x = 19$
→$11 + x = 19$
A vessel has 4 litres and $500ml$ of curd. In how many glasses, each of $25ml$ capacity, can it be filled?
→If B is the mid point of $\overline{A C}$ and $C$ is the point of $\overline{\mathrm{BD}}$ . where $A, B, C, D$ lie on a straight line, say why $AB = CD?$
→Draw a line segment of length $7.3\ cm$ using a ruler.
→Construct a rectangle of sides 8 cm and 4 cm. Now construct a square inside the rectangle such that the centre of the square is the same as the centre of the rectangle.
On dividing $55390$ by $299,$ the remainder is $75$. Find the quotient using division algorithm.
→Draw a picture and write an addition statement as above to show:
(a) 5 times $\frac{1}{4}$ of a roti
(b) 9 times $\frac{1}{4}$ of a roti
→(a) 5 times $\frac{1}{4}$ of a roti
(b) 9 times $\frac{1}{4}$ of a roti
To fix fence wires in a garden, $70m$ long and $50m$ wide, Arvind bought metal pipes for bosts, he fixed a post every $5$ metres apart. Each post was $2m$ long. What is total length of the pipes he bought for the posts?
→An office opens at $9 a.m$. and closes at $5.30 p.m$. with a lunch break of $30$ minutes. What is the ratio of lunch break to the total period in the office?
→Draw a line segment of length $7\ cm$. Draw its perpendicular bisector, using ruler and compasses.
→