Math, asked by HuntersHouse, 7 months ago

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

Answered by jayashreejayasmita5
5

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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