what is the greatest number of four digits which is exactly divisible by 40 48 and 60
siddharthKadam30:
hi guys I
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Greatest 4 digit number is 9999 but it is not exactly divisible by all the three numbers so, let's find the prime factorization of all these three:
40=2³×5
48=2³×3
60=2²×3×5
LCM(40,48,60)=120
Greatest number divisible by 120=9999-remainder(9999/120)
9999/120 gives remainder 39
Therefore number is 9999–39=9960
40=2³×5
48=2³×3
60=2²×3×5
LCM(40,48,60)=120
Greatest number divisible by 120=9999-remainder(9999/120)
9999/120 gives remainder 39
Therefore number is 9999–39=9960
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