The greatest number of four digits which when divided by 3, 5, 7, 9 leaves the remainders 1, 3, 5, 7respectively is
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You find the LCM of 3, 5, 7 and 9, which is 315. Then you find the largest multiple of 315 such that it’s 9999 or less. This is 31. Multiply 315 by 31 to come to 9765. Since the remainders are 2 less than the respective numbers, subtract 2 from it to arrive at 9763. Now add 315 (LCM) to it to see if it’s still under 5 digits. In this case it’s not so now 9763 is your answer.
may this help you
You find the LCM of 3, 5, 7 and 9, which is 315. Then you find the largest multiple of 315 such that it’s 9999 or less. This is 31. Multiply 315 by 31 to come to 9765. Since the remainders are 2 less than the respective numbers, subtract 2 from it to arrive at 9763. Now add 315 (LCM) to it to see if it’s still under 5 digits. In this case it’s not so now 9763 is your answer.
may this help you
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