Find the 4-digit smallest number which when divided by 12, 15, 25, 30 leaves no remainder?
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Answer:
1200 is the smallest four digit no when divided by 12. 15. 25, &30
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Step-by-step explanation:
Prime factorisation of :
12 = 2×2×3
15 = 3×5
25 = 5×5
30 = 2×3×5
L.C.M. of 12, 15 , 25 and 30 is : 2×2×3×5×5
= 300
Hence, 300 is the smallest number divisible by 12, 15, 25. and 30 with no remainder.
smallest 4 digit no. =
1000/300 = 3.34 (approx = 4)
300 × 4 = 1200
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