find the least number which when divided by 20,25,35 and 40 leaves remaibder 14,19,39 and 34 respectively
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First find out the LCM of 20,25,35,40
20=2×2×5
25=5×5
35=1×5×7
40=2×`2×2×5
LCM of 20,25,35,40 =2×2×5×5×7×2=1400
when divided by 20,25,35,40 leaves a remainder 14,19,29,34
i.e 6 less than the divisor in each case
Hence the required number =1400−6=1394
20=2×2×5
25=5×5
35=1×5×7
40=2×`2×2×5
LCM of 20,25,35,40 =2×2×5×5×7×2=1400
when divided by 20,25,35,40 leaves a remainder 14,19,29,34
i.e 6 less than the divisor in each case
Hence the required number =1400−6=1394
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