Mixed LCM Challenges

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Thames
T
Thames
Community Contributor
Quizzes Created: 7288 | Total Attempts: 9,526,295
| Questions: 20 | Updated: Nov 7, 2025
Please wait...
Question 1 / 20
0 %
0/100
Score 0/100
1) LCM of 3 and 4 is:

Explanation

3 and 4 have no common factors besides 1, so we multiply: 3 × 4 = 12.

That’s the first number both divide evenly into.

Submit
Please wait...
About This Quiz
Mixed LCM Challenges - Quiz

Ready to level up? This quiz mixes basic LCM practice, applications, and trickier problems into one set. You’ll use what you’ve learned to solve both straightforward and challenging questions. In this quiz, you’ll test your knowledge and see how confidently you can work with the Least Common Multiple.

2) LCM of 11 and 6 is:

Explanation

11 is prime, 6 = 2 × 3. Combine all factors: 2 × 3 × 11 = 66.

Submit
3) LCM of 7 and 9 is:

Explanation

No common factors again—7 × 9 = 63.

So 63 is the least number both 7 and 9 go into exactly.

Submit
4) LCM of 20 and 28 is:

Explanation

20 = 2² × 5, 28 = 2² × 7. Keep 2² and include 5 and 7: 2² × 5 × 7 = 140.

Submit
5) LCM of 21 and 35 is:

Explanation

21 = 3 × 7, 35 = 5 × 7. Include 3, 5, and 7 → 105.

Submit
6) LCM of 12 and 15 is:

Explanation

12 = 2² × 3, 15 = 3 × 5 → 2² × 3 × 5 = 60.

Submit
7) LCM of 24 and 40 is:

Explanation

24 = 2³ × 3, 40 = 2³ × 5 → 2³ × 3 × 5 = 120.

Submit
8) LCM of 18 and 30 is:

Explanation

18 = 2 × 3², 30 = 2 × 3 × 5 → 2 × 3² × 5 = 90.

Submit
9) LCM of 60 and 90 is:

Explanation

60 = 2² × 3 × 5, 90 = 2 × 3² × 5 → 2² × 3² × 5 = 180.

Submit
10) LCM of 9 and 25 is:

Explanation

9 = 3² and 25 = 5². They share no factors, so 3² × 5² = 225.

Submit
11) LCM of 50 and 75 is:

Explanation

50 = 2 × 5², 75 = 3 × 5². Combine 2 × 3 × 5² = 150.

Submit
12) LCM of 36 and 54 is:

Explanation

36 = 2² × 3², 54 = 2 × 3³ → 2² × 3³ = 108.

Submit
13) LCM of 25 and 40 is:

Explanation

25 = 5², 40 = 2³ × 5 → 2³ × 5² = 200.

Submit
14) LCM of 16 and 18 is:

Explanation

16 = 2⁴, 18 = 2 × 3². Use 2⁴ and 3²: 16 × 9 = 144.

Submit
15) LCM of 22 and 44 is:

Explanation

Because 44 is already a multiple of 22, the LCM is 44.

Submit
16) LCM of 45 and 60 is:

Explanation

45 = 3² × 5, 60 = 2² × 3 × 5 → 2² × 3² × 5 = 180.

Submit
17) LCM of 32 and 48 is:

Explanation

32 = 2⁵, 48 = 2⁴ × 3. Use 2⁵ × 3 = 96.

Submit
18) LCM of 13 and 8 is:

Explanation

13 is prime, 8 = 2³. Multiply 13 × 8 = 104.

So both meet again at 104.

Submit
19) LCM of 14 and 18 is:

Explanation

14 = 2 × 7, 18 = 2 × 3². Use 2, 3², and 7 → 2 × 9 × 7 = 126.

Submit
20) LCM of 28 and 36 is:

Explanation

28 = 2² × 7, 36 = 2² × 3². Keep 2² × 3² × 7 = 252.

Submit
×
Saved
Thank you for your feedback!
20)
Your input helps us improve, and you’ll get your detailed results next.
View My Results
Cancel
  • All
    All (20)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
LCM of 3 and 4 is:
LCM of 11 and 6 is:
LCM of 7 and 9 is:
LCM of 20 and 28 is:
LCM of 21 and 35 is:
LCM of 12 and 15 is:
LCM of 24 and 40 is:
LCM of 18 and 30 is:
LCM of 60 and 90 is:
LCM of 9 and 25 is:
LCM of 50 and 75 is:
LCM of 36 and 54 is:
LCM of 25 and 40 is:
LCM of 16 and 18 is:
LCM of 22 and 44 is:
LCM of 45 and 60 is:
LCM of 32 and 48 is:
LCM of 13 and 8 is:
LCM of 14 and 18 is:
LCM of 28 and 36 is:
Alert!

Advertisement