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Question (1)

QN0030473

Which of the following best defines the Lowest Common Multiple (LCM) of two or more numbers?

(A) The greatest common factor of the numbers
(B) The smallest among all the common multiples of the numbers
(C) The greatest multiple of the numbers
(D) The product of the numbers

Correct Answer: B

Explanation:

The LCM is the smallest among all the common multiples.

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Question (2)

QN0030474

Which of the following is the LCM of 6 and 8?

(A) 12
(B) 18
(C) 24
(D) 48

Correct Answer: C

Explanation:

Multiples of 6: 6, 12, 18, 24... Multiples of 8: 8, 16, 24... Hence, LCM = 24.

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Question (3)

QN0030475

Which of the following is a common multiple of 9 and 12?

(A) 18
(B) 24
(C) 30
(D) 36

Correct Answer: D

Explanation:

36 is divisible by both 9 and 12.

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Question (4)

QN0030476

Find the LCM of 5 and 15.

(A) 5
(B) 10
(C) 15
(D) 30

Correct Answer: C

Explanation:

Since 15 is a multiple of both numbers, the LCM is 15.

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Question (5)

QN0030477

The LCM of 7 and 10 is:

(A) 35
(B) 70
(C) 140
(D) 17

Correct Answer: B

Explanation:

LCM = 2 × 5 × 7 = 70.

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Question (6)

QN0030478

Find the LCM of 12 and 18 using prime factorisation.

(A) 24
(B) 30
(C) 36
(D) 72

Correct Answer: C

Explanation:

12 = 2² × 3 and 18 = 2 × 3². LCM = 2² × 3² = 36.

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Question (7)

QN0030479

The prime factorisation of 14 is 2 × 7 and that of 35 is 5 × 7. Their LCM is:

(A) 35
(B) 49
(C) 70
(D) 140

Correct Answer: C

Explanation:

LCM = 2 × 5 × 7 = 70.

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Question (8)

QN0030480

Which statement is correct while finding the LCM using prime factorisation?

(A) Take only the common prime factors.
(B) Take all prime factors with their minimum occurrences.
(C) Take all prime factors with their maximum occurrences.
(D) Multiply only the greatest prime factors.

Correct Answer: C

Explanation:

Include every prime factor with its highest occurrence.

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Question (9)

QN0030481

Find the LCM of 9 and 15.

(A) 30
(B) 45
(C) 60
(D) 90

Correct Answer: B

Explanation:

9 = 3² and 15 = 3 × 5. LCM = 3² × 5 = 45.

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Question (10)

QN0030482

Two bells ring every 8 minutes and 12 minutes respectively. If they ring together now, after how many minutes will they ring together again?

(A) 20
(B) 24
(C) 36
(D) 48

Correct Answer: B

Explanation:

LCM of 8 and 12 is 24 minutes.

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Question (1)

Which of the following best defines the Lowest Common Multiple (LCM) of two or more numbers?

Explanation:

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Question (2)

Which of the following is the LCM of 6 and 8?

Explanation:

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Question (3)

Which of the following is a common multiple of 9 and 12?

Explanation:

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Question (4)

Find the LCM of 5 and 15.

Explanation:

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Question (5)

The LCM of 7 and 10 is:

Explanation:

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Question (6)

Find the LCM of 12 and 18 using prime factorisation.

Explanation:

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Question (7)

The prime factorisation of 14 is 2 × 7 and that of 35 is 5 × 7. Their LCM is:

Explanation:

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Question (8)

Which statement is correct while finding the LCM using prime factorisation?

Explanation:

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Question (9)

Find the LCM of 9 and 15.

Explanation:

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Question (10)

Two bells ring every 8 minutes and 12 minutes respectively. If they ring together now, after how many minutes will they ring together again?

Explanation:

Link:

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