5) Find the smallest possible length of scale to
measure exactly 64 cm, 80 cm and 96 cm.
(a) 9.60 m
(b) 9.60 cm
(c) 7.20 m
(d) 7.20 cm
Answers
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To find the smallest possible length, We have to take out LCM ..
So, LCM of 64, 80 and 96 is ...
64 = 2 × 2 × 2 × 2 × 2 × 2 = 2⁶
80 = 2 × 2 × 2 × 2 × 5 = 2⁴ × 5
96 = 2 × 2 × 2 × 2 × 2 × 3 = 2₅ × 3
LCM (64, 80, 96) = 2⁶ × 3 × 5 = 960.
Hence, the smallest possible length of scale to measure exactly 64 cm,80 cm and 96 cm is 960 cm or 9.6 m.
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