LCM and HCF Practice Test 5

LCM of 6, 9 and 12 = 36 and largest 3-digit number = 999
HCF of 36 and 999 ∴ Largest three-digit number completely divisible by 6, 9 and 12 = 999 – 27 = 972
Since 3 is left as remainder in each case,
∴ Required largest number of 3-digit = 972 + 3 = 975.