LCM

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๐Ÿ“˜ Comprehensive Syllabus & Examination Guide

LCM

Official curriculum roadmap, subject/topic distribution, negative marking rules, pacing guidelines, and solved sample questions.

๐ŸŽฏ Mapped Subjects & Topic Question Distribution

Total Question Pool 100%
10 MCQs
Combined Active Syllabus
LCM
10 MCQs
Topic Pool
๐Ÿ“Š Question Pool Structure
10 MCQs across fundamental, intermediate, and advanced concept tiers.
โšก Recommended Pacing
45 to 60 seconds per MCQ. Flag complex problems and preserve 10 minutes for final revision.
โš–๏ธ Scoring & Negative Marking
+1 mark per correct answer. In competitive tests with negative marking, -0.25 applies for incorrect guesses.

๐Ÿ’ก Strategic Preparation & Exam Hall Guidelines

To maximize your score on LCM, candidates are advised to follow a structured three-pass approach. In the First Pass, solve all direct recall and formula-based questions within 30 seconds each to secure foundational marks. In the Second Pass, tackle multi-step analytical and quantitative reasoning problems. In the Third Pass, review marked questions and verify calculations.

Practice with the interactive player below to evaluate your speed and accuracy under real exam pressure. Every question features full mathematical formulas, step-by-step worked solutions, and conceptual explanations vetted by Apex Rankers Academy subject matter specialists.

Ready to test your knowledge? Launch interactive 1-by-1 practice with instant feedback, bookmarking, and step-by-step rationales.
Solved Blueprint Examples

๐Ÿ“ Pre-Rendered Solved Sample Questions & Detailed Solutions

Showing 10 solved representative questions

Review the solved problems below to understand question phrasing, answer choices, and step-by-step solution logic prior to starting the full interactive practice drill:

Sample Question 1
LCM Medium • Quantitative Aptitude Test
What is the least common multiple (LCM) of 3 and 6?
A 3
B 6
C 9
D 18
โœ“ Correct Answer: B - 6
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Since 6 is a multiple of 3: \[\text{LCM}(3, 6) = 6\] Thus, the correct option is (B).
Sample Question 2
LCM Medium • Quantitative Aptitude Test
What is the least common multiple (LCM) of 8 and 16?
A 8
B 16
C 24
D 32
โœ“ Correct Answer: B - 16
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Since 16 is divisible by 8: \[\text{LCM}(8, 16) = 16\] Thus, the correct option is (B).
Sample Question 3
LCM Medium • Quantitative Aptitude Test
What is the least common multiple (LCM) of 8, 16, and 32?
A 16
B 32
C 48
D 64
โœ“ Correct Answer: B - 32
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
All numbers are powers of 2 ($8 = 2^3$, $16 = 2^4$, $32 = 2^5$). The LCM is the highest power of 2: \[\text{LCM} = 2^5 = 32\] Thus, the correct option is (B).
Sample Question 4
LCM Medium • Quantitative Aptitude Test
What is the least common multiple (LCM) of 6, 12, 24, and 48?
A 12
B 24
C 48
D 96
โœ“ Correct Answer: C - 48
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Since 6, 12, and 24 are all divisors of 48, the least common multiple of the set is: \[\text{LCM}(6, 12, 24, 48) = 48\] Thus, the correct option is (C).
Sample Question 5
LCM Medium • Quantitative Aptitude Test
What is the least common multiple (LCM) of 4, 6, and 12?
A 6
B 12
C 24
D 48
โœ“ Correct Answer: B - 12
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Prime factorizations: \[4 = 2^2\] \[6 = 2^1 \times 3^1\] \[12 = 2^2 \times 3^1\] The LCM is: \[\text{LCM} = 2^2 \times 3^1 = 4 \times 3 = 12\] Thus, the correct option is (B).
Sample Question 6
LCM Medium • Quantitative Aptitude Test
What is the least common multiple (LCM) of 18, 24, and 36?
A 36
B 48
C 72
D 144
โœ“ Correct Answer: C - 72
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Prime factorizations: \[18 = 2^1 \times 3^2\] \[24 = 2^3 \times 3^1\] \[36 = 2^2 \times 3^2\] Taking the highest powers of each prime factor: \[\text{LCM} = 2^3 \times 3^2 = 8 \times 9 = 72\] Thus, the correct option is (C).
Sample Question 7
LCM Medium • Quantitative Aptitude Test
What is the least common multiple (LCM) of 5, 15, 20, and 30?
A 30
B 45
C 60
D 120
โœ“ Correct Answer: C - 60
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Prime factorizations: \[5 = 5^1\] \[15 = 3^1 \times 5^1\] \[20 = 2^2 \times 5^1\] \[30 = 2^1 \times 3^1 \times 5^1\] The LCM is: \[\text{LCM} = 2^2 \times 3^1 \times 5^1 = 4 \times 3 \times 5 = 60\] Thus, the correct option is (C).
Sample Question 8
LCM Medium • Quantitative Aptitude Test
What is the least common multiple (LCM) of 7, 14, and 13?
A 91
B 156
C 182
D 210
โœ“ Correct Answer: C - 182
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Find the prime factorizations: \[7 = 7^1\] \[14 = 2^1 \times 7^1\] \[13 = 13^1\] The LCM is the product of the highest powers of all prime factors: \[\text{LCM} = 2^1 \times 7^1 \times 13^1 = 14 \times 13 = 182\] Thus, the correct option is (C).
Sample Question 9
LCM Medium • Quantitative Aptitude Test
What is the Least Common Multiple (LCM) of $2$ and $3$?
A 1
B 3
C 5
D 6
โœ“ Correct Answer: D - 6
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Since $2$ and $3$ are distinct prime numbers, their LCM is their product: \[\text{LCM}(2, 3) = 2 \times 3 = 6\] Thus, the correct option is (D).
Sample Question 10
LCM Medium • Quantitative Aptitude Test
What is the Least Common Multiple (LCM) of $4$ and $6$?
A 6
B 10
C 12
D 24
โœ“ Correct Answer: C - 12
๐Ÿ“– Step-by-Step Solution & Conceptual Rationale:
Prime factorization: $4 = 2^2$ and $6 = 2 \times 3$. Taking the highest power of each prime factor: \[\text{LCM}(4, 6) = 2^2 \times 3 = 4 \times 3 = 12\] Thus, the correct option is (C).
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