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What is the smallest 4 digit number exactly divisible by each number 8,10,12, and 16?
- a)1000
- b)1020
- c)1200
- d)2400
Correct answer is option 'C'. Can you explain this answer?
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What is the smallest4digit number exactly divisible by each number8,10...
Given:
The number must be divisible by 8,10,12 and 16.
The concept of LCM is used.
LCM of 8,10,12 and 16 is 240.
The smallest 4−digit number is 1,000.
Now,
1000 ÷ 240
Q = 4
R = 40
⇒ 240−40 = 200
⇒ 1000+200 = 1200
∴1200 is 4 digit the smallest number which is divisible by 8,10,12 and 16.
The number must be divisible by 8,10,12 and 16.
The concept of LCM is used.
LCM of 8,10,12 and 16 is 240.
The smallest 4−digit number is 1,000.
Now,
1000 ÷ 240
Q = 4
R = 40
⇒ 240−40 = 200
⇒ 1000+200 = 1200
∴1200 is 4 digit the smallest number which is divisible by 8,10,12 and 16.
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What is the smallest4digit number exactly divisible by each number8,10,12, and16?a)1000b)1020c)1200d)2400Correct answer is option 'C'. Can you explain this answer?
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