Question

find the greatest three digit number which when divided by 75, 45 and 60 leaves the remainder 4 in each case ​

Answer 1

Answer:

904?

Step-by-step explanation:

lcm is 900

after that no common multiple below 1000

Answer 2

75 = 3×5²

45 = 3²×5

60 = 2²×3×5

Therefore, LCM = 3²×5²×2² = 900

Therefore, the greatest three digit number that leaves remainder 4 in each case will be 900+4 = 904

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