Q. 54.6( 61 Votes )
Determine the greatest 3-digit number exactly divisible by 8, 10 and 12.
Answer :
Let’s take the LCM of 8, 10 and 12
LCM = 2 × 2 × 2 × 3 × 5 = 120
Now to get greatest 3-digit number we have to calculate the multiples of 120
120 × 1 = 120
120 × 2 = 240
120 × 3 = 360
120 × 4 = 480
120 × 5 = 600
120 × 6 = 720
120 × 7 = 840
120 × 8 = 960
120 × 9 = 1080
120 × 10 = 1200
Hence the greatest 3-digit number exactly divisible by 8, 10 and 12 is 960.
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