the smallest 4 digit number divisible by 24,15and 36 is
a)1000
b)1208
c)1800
d)1080
Answers
SOLUTION
TO CHOOSE THE CORRECT OPTION
The smallest 4 digit number divisible by 24 , 15 and 36 is
a) 1000
b) 1208
c) 1800
d) 1080
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 24 , 15 and 36
We now prime factorise the given numbers
24 = 2 × 2 × 2 × 3
15 = 3 × 5
36 = 2 × 2 × 3 × 3
LCM of the numbers
= 2 × 2 × 2 × 3 × 3 × 5
= 360
Now
360 × 1 = 360 : Which is a 3 digit number
360 × 2 = 720 : Which is a 3 digit number
360 × 3 = 1080 : Which is a 4 digit number
Hence the required number = 1080
FINAL ANSWER
Hence the correct option is d) 1080
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Answer:1080
Step-by-step explanation:TO CHOOSE THE CORRECT OPTION
The smallest 4 digit number divisible by 24 , 15 and 36 is
a) 1000
b) 1208
c) 1800
d) 1080
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 24 , 15 and 36
We now prime factorise the given numbers
24 = 2 × 2 × 2 × 3
15 = 3 × 5
36 = 2 × 2 × 3 × 3
LCM of the numbers
= 2 × 2 × 2 × 3 × 3 × 5
= 360
Now
360 × 1 = 360 : Which is a 3 digit number
360 × 2 = 720 : Which is a 3 digit number
360 × 3 = 1080 : Which is a 4 digit number
Hence the required number = 1080
FINAL ANSWER
Hence the correct option is d) 1080