Question
Three planks of different lengths, L, M and N are nailed together to make a frame as shown. Plank L has 3 holes which divide it into 4 equal parts. Plank M has 4 holes which divide it into 5 equal parts and Plank N has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank L is 168 cm long. What is the total length of Plank L, Plank M and Plank N?
3 m

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Three planks of different lengths, L, M and N are nailed together to make a frame as shown. Plank L has 3 holes which divide it into 4 equal parts. Plank M has 4 holes which divide it into 5 equal parts and Plank N has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank L is 168 cm long. What is the total length of Plank L, Plank M and Plank N?