Prove that smallest number of five digits which is divisible by 12,16, and 20
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Answer:
10080 is the smallest 5 digit number which exactly divide by 20,16 and 12.
Step-by-step explanation:
Hey Mate,
First we need to find LCM of 20,16,12.
LCM of 20,16,12 = 240
We need to check the multiple of 240.
The 1st five digit number came after multiple of 240 is the smallest four digit number which exactly divide by 20,16 and 12.
240 × 42 = 10080
So ,
10080 is the smallest 5 digit number which exactly divide by 20,16 and 12.
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