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HCF & LCM · Question 35 of 63

Question 35

EasyOriginal question

What is the shortest length of rope that can be cut exactly into whole pieces of 15 cm, or of 25 cm, or of 40 cm, with nothing left over?

Options for question 35

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The length must be a common multiple of 15, 25 and 40.

  2. LCM(15, 25, 40) = 23×3×52=6002^3 \times 3 \times 5^2 = 600 cm.

  3. 600 cm = 6 m.

Worth noting

150 m is the product 15×25×40=15,00015 \times 25 \times 40 = 15{,}000 cm; 1.2 m and 2 m work for only two of the lengths.

Concept
LCM for the least common length
Typical time
45 s
Your time
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