Vidaara.orgClass 6 · Mathematics
CodeVID-M06-03-LCM-01
Least Common Multiple - Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
The LCM is the ___ multiple common to two numbers.
- A.largest
- B.smallest
- C.first prime
- D.even
2.
The LCM of $4$ and $6$ is:
- A.$2$
- B.$12$
- C.$24$
- D.$10$
3.
The LCM of two co-prime numbers is:
- A.$1$
- B.their product
- C.the larger
- D.$0$
4.
To find the LCM, use the ___ powers of all prime factors.
- A.lowest
- B.highest
- C.common
- D.even
5.
The LCM of $3$ and $5$ is:
- A.$8$
- B.$15$
- C.$1$
- D.$30$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the LCM of $2$ and $3$.
7.
Find the LCM of $4$ and $6$.
8.
Find the LCM of $5$ and $10$.
9.
Find the LCM of $3$ and $7$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the LCM of $8$ and $12$.
11.
Find the LCM of $6$ and $9$.
12.
Find the LCM of $10$ and $15$.
13.
Find the LCM of $4$ and $5$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Find the LCM of $12$ and $18$ using prime factorization.
15.
Two bells ring at intervals of $8$ minutes and $12$ minutes. If they ring together now, after how many minutes will they next ring together?
Answer Key
Section A — Multiple Choice Questions
- (B) smallest
- (B) $12$
- (B) their product
- (B) highest
- (B) $15$
Section B — Short Answer (2 marks)
- $6$.
- $12$.
- $10$.
- $21$.
Section C — Short Answer (3 marks)
- $24$.
- $18$.
- $30$.
- $20$.
Section D — Long Answer (5 marks)
- $36$.
- $24$ minutes.
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