What is the shortest length of rope which can be cut exactly into 6m,7m and 3m pieces?

Question

asked Aug 7, 2024 72.6k views

1 Answer

Mairaj Ahmad · Answer 1 · 2024-08-13T09:11:18+0000

Answer:

42 m

Explanation:

To find the least common multiple (LCM), write the prime factorizations:

3 = 3¹

6 = 2¹ × 3¹

7 = 7¹

The LCM is the product of each prime number raised to its highest power.

LCM = 2¹ × 3¹ × 7¹

LCM = 42