Three measuring rods are 45cm,50,75cm in length.what is the least length (in metres)of rope that can be measured by the full length of each of these three rods?
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11
We have to find L.C.M
45=3*3*5
50= 2*5*5
75=3*5*5
Common terms =5
Uncommon terms = 3*3*2*5
L.C.M =2*3*3*5*5= 450
The length of smallest rope is 450 cm
450cm =450 /100=4.5 m
There fore, the least length of rope that can be measured by the full length of each of these three rods is 4.5 metres.
45=3*3*5
50= 2*5*5
75=3*5*5
Common terms =5
Uncommon terms = 3*3*2*5
L.C.M =2*3*3*5*5= 450
The length of smallest rope is 450 cm
450cm =450 /100=4.5 m
There fore, the least length of rope that can be measured by the full length of each of these three rods is 4.5 metres.
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The length of the rope should be 4.5 metres
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