Question

find the greatest three digit number which when divided by 75 45 and 60 leaves no remainder​

Answer 1

Answer:

900

Step-by-step explanation:

75=3×5275=3×52

45=32×545=32×5

60=22×3×560=22×3×5

LCM (75,45,60)=5^2×3^2×2^2=25×9×4=900

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Answer 2

The greatest three digit number = 900 which when divided by 75 ,45 and 60 gives no remainder .