A number when divided by 4, 5, 6, 7, 8, 9 and 10 leaves a number of 3, 4, 5, 6, 7, 8 and 9 respectively. What is the smallest such number?
Answer (1)
11th Jan, 2020
Hello,
The given number is a very simple but tricky application of LCM concept.
To find the number as per the given conditions, first task is to find out the LCM of the divisors, i.e., 4,5,6,7,8,9,10. The least LCM of the numbers is 2520.
So, the required number will be -1 of the obtained LCM.
So, the required number is 2519.
Best Wishes.
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