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of 180 cm, 220ind the minimum length of the rope which can be divided into pieces of 180and 380 cm completely. |
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Answer» Solution :- Given length of pieces - 45 cm, 75 cm and 81 cm To find the length of the rope we have to find the L.C.M. of 45, 75 and 81. __________________3 | 45, 75, 81 |________________ 3 | 15, 25, 27 |________________3 | 5, 25, 9 |________________3 | 5, 25, 3 |________________5 | 5, 25, 1 |________________5 | 1, 5, 1 |________________ | 1, 1, 1 | L.C.M. = 3*3*3*3*5*5= 2025 cm So, the least length of the rope should be 2025 cm which can be cut into whole number of pieces of length 45 cm, 75 cm and 81 cm.Answer. 2025 cm is the answer of the following length pieces = 45cm, 75 cm, 81 cm, lcm of 45, 75, 81 3 |45, 75 , 81 |_________________ 3| 9, 25, 27 | ________________ 3| 3, 25, 9 |_________________ 3| 1, 25, 3 |__________________ 3| 1, 25, 1 |_________________ 5| 1, 5, 1 |__________________ 5| 1, 1, 1 |___________________ lcm 3x3x3x3x3x5x5=9×9×3×25 =81×3×25=243×25= 6075 cm |
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