Question

Q.3
Find the smallest length of rope from which pieces of 9 cm, 12 cm
and 15 cm can be cut.
​

Answer 1

Answer:

for finding the smallest length of rope from which pieces of 9cm,12cm and 15cm

LCM of 9,12,15=180

Therefore:The Length of the rope will be 180cm or 1m 80cm

Answer 2

Required length of rope = LCM of the lengths of rope necessary

$\underline{3 |9,12,15 } \\ \underline{ 3 | \: 3, \: 4, \: 5 \: } \\ \underline{ }$

.°. LCM = 3 × 3 × 3 × 4 × 5 = 540

Hence,

• It is concluded that 540 cm of rope is required to cut out pieces of 9 cm, 12 cm and 15 cm.