Determine the two numbers nearest to10,000 which are exactly divisible by2,3,4,5,6,7
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Solution:
Step 1:
Take the LCM of given numbers.
LCM of (1, 2, 3, 4, 5, 6 and 7 ) = 420
Step 2:
Divide 10000 by 420, in which the value comes nearest to 10000
When 420 is divided by 23, it gives a remainder of 340
Step 3:
Subtract 340 from 10000
= 10000 - 340
= 9660
Therefore, 9660 is the first number which is nearest to 10000 and divisible by 1, 2, 3, 4, 5, 6 and 7.
Step 4:
Multiply 420 by 24 to get the second nearest number
420 * 24 = 10080
Therefore, the two numbers are 9660 and 10080
Step 1:
Take the LCM of given numbers.
LCM of (1, 2, 3, 4, 5, 6 and 7 ) = 420
Step 2:
Divide 10000 by 420, in which the value comes nearest to 10000
When 420 is divided by 23, it gives a remainder of 340
Step 3:
Subtract 340 from 10000
= 10000 - 340
= 9660
Therefore, 9660 is the first number which is nearest to 10000 and divisible by 1, 2, 3, 4, 5, 6 and 7.
Step 4:
Multiply 420 by 24 to get the second nearest number
420 * 24 = 10080
Therefore, the two numbers are 9660 and 10080
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