Math, asked by uditjan6172, 1 year ago

Three measuring rods are 45 CM, 50 cm and 75 cm in length what is the least length in metres of a rope that can be measured by the full length of each of these three rods


Aashikaagrawal: We have to find the length of rope which can be measured by all three rods so LCM of 45, 50 and 75 will be required length
LCM(45, 50, 75) = 450 cm

Answers

Answered by fiercespartan
56

hey there!!

The main motto behind this question is to find the LCM, only then, the number we found out could me measurable by all the three lengths. Hope you get it.

LCM = 450

So, the least length in meters of a rope that can be measured by full lengths of each of the three rods is 450 meters!

Hope my answer helps! ^_^


fiercespartan: yup
Answered by MarkAsBrainliest
92

Answer :

We need to find the LCM of 45, 50 and 75 in order to find the length of a rope that can be measured by the full length of each of the three rods.

Now,

45 = 3 × 3 × 5

50 = 2 × 5 × 5

75 = 3 × 5 × 5

So, LCM (45, 50, 75)

= 2 × 3 × 3 × 5 × 5

= 450

Therefore, the required length of the rope be 450 cm

#MarkAsBrainliest

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