Question

5. Determine the greatest three digit number divisible by 8.10 and 12​

Answer 1

Answer:

i.e 999 = 120 × 8 + 39 so, 39 is remainder. So 960 is greatest three digit number divisible by 8, 10, & 12

Answer 2

Answer:

LCM(8)=2³

LCM(10)=2×5

LCM(12)=3×2²

L.C.M. of 8, 10 & 12 is 120.

.·  . the number is:

120×8=960  

120×10=1200

120×12=1440

Since, 1200 & 1440 are not 3-digit numbers, we check whether 960 is divisible by 8, 10 & 12.

960÷8=120

960÷10=96

960÷12=80

.·. The Greatest 3-digit no. is 960

MARK AS BRAINLIEST