Question

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 mesured by the full length of each of these three rods?​

Answer 1

$\huge \bold{heya \: mate}$

Here, the least length will be given by the LCM of 45,50 and 75 .

Prime factorisation of⤵⤵

45=3×5×3=3²×5¹

50=2×5×5=2¹×5²

75=3×5×5=3¹×5²

LCM(Highest Power)=3²×2¹×5²

➡450 cm=>
4.5 metres-Answer