Question

Which is the smallest three digit number divisible by both 18 and 24 ? ?

Answer 1

Answer:

LCM of 6,8,12 is 24

the smallest 3 digit no. that can be divided by 6,8,12 will also be divided by 24

=>24×4=96

=>(24×5=120) ----3 digit no.

so 120 is the smallest 3 digit no.

i.e. closest to 100 and of 3 digits

Step-by-step explanation:

Answer 2

SOLUTION

TO DETERMINE

The smallest three digit number divisible by both 18 and 24

CONCEPT TO BE IMPLEMENTED

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

EVALUATION

Here the given numbers are 18 and 24

We prime factorise the given numbers

18 = 2 × 3 × 3

24 = 2 × 2 × 2 × 3

LCM = 2 × 2 × 2 × 3 × 3 = 72

Now

72 × 1 = 72 : which is 2 digit number

72 × 2 = 144 : which is 3 digit number

FINAL ANSWER

The smallest three digit number divisible by both 18 and 24 = 144

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