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HCF and LCM

Numbers and Decimals HCF and LCM

🎬 Video Tutorial

(0:24) Finding HCF and LCM by Listing Method: For HCF, list all factors of each number and identify the largest shared factor. For LCM, list the multiples of each number and select the smallest shared multiple.
(1:19) Prime Factorisation for HCF and LCM: For larger numbers, use prime factorisation. For HCF, take the lowest power of common prime factors; For LCM, take the highest power of all prime factors.

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📂 Revision Cards

Explanation that HCF is the biggest factor shared and LCM is the smallest multiple shared. — 1) HCF and LCM

Method for finding Highest Common Factor (HCF) and Lowest Common Multiple (LCM) by listing factors and multiples, with HCF of 6 and LCM of 36. — 2) Finding HCF and LCM

Using prime factorisation to find HCF and LCM for numbers 180 and 168, with step-by-step calculations and final results. — 3) Finding HCF and LCM

🍪 Quiz

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HCF and LCM

1 / 6

Q: What is the HCF of 8 and 12?

6

2

8

4

Feedback: Not quite! The factors of 8 are 1, 2, 4, 8, and the factors of 12 are 1, 2, 3, 4, 6, 12. The highest common factor is 4.

Feedback: Well done! The factors of 8 are 1, 2, 4, 8, and the factors of 12 are 1, 2, 3, 4, 6, 12. The highest common factor is 4.

2 / 6

Q: What is the LCM of 4 and 6?

12

16

10

8

Feedback: Not quite! The multiples of 4 are 4, 8, 12, 16, and the multiples of 6 are 6, 12, 18, etc. The smallest multiple that is common to both is 12.

Feedback: Well done! The multiples of 4 are 4, 8, 12, 16, and the multiples of 6 are 6, 12, 18, etc. The smallest multiple that is common to both is 12.

3 / 6

Q: What is the LCM of 15 and 20?

40

60

30

70

Feedback: Not quite! The multiples of 15 are 15, 30, 45, 60, and the multiples of 20 are 20, 40, 60, etc. The smallest common multiple is 60.

Feedback: Well done! The multiples of 15 are 15, 30, 45, 60, and the multiples of 20 are 20, 40, 60, etc. The smallest common multiple is 60.

4 / 6

Q: What is the HCF of 45 and 75?

25

15

5

30

Feedback: Not quite! The factors of 45 are 1, 3, 5, 9, 15, 45, and the factors of 75 are 1, 3, 5, 15, 25, 75. The largest common factor is 15.

Feedback: Well done! The factors of 45 are 1, 3, 5, 9, 15, 45, and the factors of 75 are 1, 3, 5, 15, 25, 75. The largest common factor is 15.

5 / 6

Q: Using prime factorization, what is the LCM of 28 and 42?

112

84

56

98

Feedback: Not quite! By writing the prime factors. For 28, the prime factorization is 2 × 2 × 7. For 42, it is 2 × 3 × 7. The LCM: 2 × 2 × 3 × 7 = 84.

Feedback: Well done! By writing the prime factors. For 28, the prime factorization is 2 × 2 × 7. For 42, it is 2 × 3 × 7. The LCM: 2 × 2 × 3 × 7 = 84.

6 / 6

Q: What is the LCM of 72 and 108?

144

342

288

216

Feedback: Not quite! The prime factors of 72 are 2 × 2 × 2 × 3 × 3, and the prime factors of 108 are 2 × 2 × 3 × 3 × 3. The LCM is 2^3 and 3^3, giving 216.

Feedback: Well done! The prime factors of 72 are 2 × 2 × 2 × 3 × 3, and the prime factors of 108 are 2 × 2 × 3 × 3 × 3. The LCM is 2^3 and 3^3, giving 216.

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