Mathematics
Grade6
Easy
Question
What is the L.C.M of 9 and 27?
- 9
- 27
- 18
- 21
Hint:
1. The lowest/ smallest multiple that is common among 2 or more numbers is known as Least Common Multiple.
2. To find LCM of 2 or more numbers, we first factorize all the given numbers and then multiply each unique factor, the maximum number of times it occurs in either of the given numbers.
The correct answer is: 27
solution-
Step-1: Factorise the given numbers i.e. 9 & 27-
Factors of 9- 3 * 3 * 1
Factors of 27- 3 * 3 * 3 * 1
Step-2: Find all unique factors- 1 and 3
Step-3: Find the Maximum frequency each unique factor in a given number-
1 - 1
3 - 3
Step-4: Multiply all the unique factors the maximum number of times they occur-
= 1 * 3 * 3 * 3
= 27
Hence, 27 is the LCM of 3 & 27.
Final Answer- 'Option c' i.e. 27.
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