NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - True or False Questions

Question 89

Idea: The LCM is the smallest number that is a multiple of each given number.

Rule to remember: If one number divides the other exactly, then the LCM is the bigger number.

Example 1: Numbers are (6) and (12).

• (12 = 6 imes 2) → so (6) divides (12).
• Multiples of (6): (6, 12, 18, ldots)
• Multiples of (12): (12, 24, 36, ldots)
• Common multiples start at (12).

Smallest common multiple = (12). So LCM (= 12) (which is one of the numbers).

Example 2: Numbers are (1) and (9).

• (9 = 1 imes 9) → so (1) divides (9).
• LCM (= 9) (again, one of the numbers).

Note: If neither number divides the other (e.g., (4) and (6)), the LCM may not be one of them (here it is (12)).