find the greatest number if five digit that can be divided by 70, 85,90
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10000 is the right ans
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Step 1 : Find LCM:
70 = 2 x 5 x 7
85 = 5 x 17
90 = 2 x 3² x 5
LCM = 2 x 3² x 5 x 7 x 17 = 10710
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Step 2: Find the quotient needed:
Largest 5 digit number = 99999
Number of 10710 = 99999 ÷ 10710 = 9 remainder: 3609
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Step 3: Find the largest 5 digit number divisible by all 3 numbers:
10710 x 9 = 96390
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Answer: 96360
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