Find the greatest number of three digits that can be exactly divided by 75, 45 and 80
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Answer:
3600 is the greatest 4 - digit no which is exactly divided by 75, 45 and 80 .
Step-by-step explanation:
Here we have to find the greatest number of three digits that can be exactly divided by 75, 45, and 80. Means find LCM and then decide.
Lets find the L.C.M
75 = 3 × 5 × 5
45 = 3 × 3 × 5
80 = 2× 2 × 2 × 2 × 5
L.C.M = 2× 2 × 2 × 2 × 3 × 3 × 5 × 5
L.C.M = 3600
So 3600 is the greatest 4 - digit no.
Hence , the greatest number of three digits that can be exactly divided by 75, 45 and 80 is not found.
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