Q1) Find the greatest number of five digits that can be exactly divisible by 60, 90 and 80. With Explanation. (Including Formula ).
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Answer: 10080
Step-by-step explanation:
First ,we find the LCM of 60 ,80,90
now, we get the LCM of 60, 80, 90 =720.
The smallest number of five digits =10000
Let us divide 10000 by the LCM (720).
720)10000( 13
-720
.........
2800
-2160
............
640
The required number =10000 - remainder + LCM
=10000 - 640 + 720
= 10720 - 640
= 10080
Hence, 10080 is the smallest five digit number which is exactly divisible by 60,80,90.
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