Three measuring rods are 45cm,50cm,75cm in length. Wht is least length of a rope tht can be measured by the full length of each of these three rods?
Answers
Answered by
231
Hi ,
Lengths of the Three rods are 45cm,
50cm , 75cm.
We have to find LCM of 45 , 50, 75
by prime factorization method :
45 = 3 × 3 × 5
50 = 2 × 5 × 5
75 = 3 × 5 × 5
Therefore ,
LCM ( 45 , 50 , 75 ) = 5 × 2 × 3 × 3 × 5
= 450
Least length of the rope is 450 cm .With
this we can measure given three
rods .
I hope this helps you.
: )
Lengths of the Three rods are 45cm,
50cm , 75cm.
We have to find LCM of 45 , 50, 75
by prime factorization method :
45 = 3 × 3 × 5
50 = 2 × 5 × 5
75 = 3 × 5 × 5
Therefore ,
LCM ( 45 , 50 , 75 ) = 5 × 2 × 3 × 3 × 5
= 450
Least length of the rope is 450 cm .With
this we can measure given three
rods .
I hope this helps you.
: )
Answered by
96
Hey there!
We have a find the length of a rod that can be measured by all of the given rods.
In other words, We need to find L. C. M of given lengths of rods .
Given length = 45 , 50 , 75
45 = 5 * 3²
50 = 5² * 2
75 = 5²*3
L. C. M = 5² * 3² * 2 = 25 * 9 * 2 = 450
Hence, The least length of rod which can be measured by all of the given rods is 450 cm.
Hope helped!
We have a find the length of a rod that can be measured by all of the given rods.
In other words, We need to find L. C. M of given lengths of rods .
Given length = 45 , 50 , 75
45 = 5 * 3²
50 = 5² * 2
75 = 5²*3
L. C. M = 5² * 3² * 2 = 25 * 9 * 2 = 450
Hence, The least length of rod which can be measured by all of the given rods is 450 cm.
Hope helped!
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