Question

Two measuring rods are of lengths 66 cm and 84 cm respectively. Find the shortest

length that can be measured exactly by each one of these rods. ​

Answer 1

The answer is 1 cm.............

Answer 2

Given:

Two rods of 66cm and 84 cm

To find:

Shortest  length that can be measured exactly by each one of these rods.

Solution:

Shortest  length that can be measured exactly by each one of these rods means we have to find the LCM of the length of the given rods

we can find the LCM by the prime factorization:

66 = 2×3×11

84 = 2×2×3×7

• LCM[66, 84] = 2×3
• LCM[66, 84] = 6

Hence 6 cm is the shortest length by which can be used to measure the rods accurately

The shortest length can be 6 cm