Math, asked by ushavijay251, 8 months ago

Q. Find the least number which when divided by 25 , 40 and 60 leaves and 9 as the remainder in each case .




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Answers

Answered by ayushyadav143
3

Answer:

If the required number is , then leaves a remainder of 0 when divided by 25, 40 and 60.

Any multiple of their lowest common multiple will leave a remainder of 0.

Their LCM is 600.

Answered by emma3006
2

Answer:

609

Step-by-step explanation:

Clearly the required no = LCM(25,40,60) +9

Now,. 25 = 5×5 = 5²

40 = 2×2×2×5 = 2³×5

60 = 2×2×3×5 = 2²×3×5

LCM = highest power of all factors = 5²×2³×3

= 600

Hence, the required no. = 600+9 = 609

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