Question

find the smallest possible length of scale to measure exactly 64 cm,80 cm and 96 cm.

Answer 1

Hey !!!

For finding the smallest possible lenght of scale .

we can find the lcm of 64 , 80 , 96

let us see ,

How I do .

64 = 2× 2×2×2×2×2
80 = 2× 2× 2× 2 ×5
96 = 2× 2× 2× 2× 2× 3

now , we saw ,

there is 4 times 2 common in each case .and remaining 2 ,2, 5, 2, 3

so, the lcm is

so, 2×2×2× 2 × 2 ×2× 3×5

2^6 × 3× 5 =960

960cm = 9 .6m Answer

hope it helps you !!!

@Rajujumar111@@@

Answer 2

Heya !!!

This is Your Answer...

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.

Hope It Helps