Find the greatest 5 digit number which is exactly divisible by 20 , 24 , 35 , 45 .
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First of all we will find the L.C.M of 20, 24, 35 45.
So, L.C.M= 2×2×5×3×2×7×3 = 1520.
Greatest 5 digit number= 99999.
We will divide 99999 by 1520 and find the remainder.
99999÷ 1520=
Q= 65
R= 1199.
A.T.Q we need a greatest 5 digit no. exactly divisible by 1520.
Therefore, the required number is 99999-1199= 98800
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