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when a certain number is divided by 48, 72 or 100 the remainder is 3 in each case. find the number

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when a certain number is divided by 48, 72 or 100...

is gcd or lcm used

asked May 11, 2023 in Word Problem Answers by bettenock Level 1 User (120 points)

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1 Answer

First find the LCD of 48, 72, 100.

48=2⁴×3; 72=2³×3²; 100=2²×5².

The LCD must contain 2⁴, 3², 5² so the LCD=16×9×25=3600.

So the number n=3600m+3 where m is any natural number, the smallest being m=1, making n=3603.

answered May 11, 2023 by Rod Top Rated User (1.2m points)

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