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Find the LCM of each set of numbers using the prime factorisation method. (i) 6, 9 (ii) 8, 12 (iii) 10, 15 (iv) 14, 42 (v) 30, 40, 60 (vi) 15, 25, 75?
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Find the LCM of each set of numbers using the prime factorisation meth...
LCM Using Prime Factorisation Method


(i) 6, 9



  1. Prime factorisation of 6 = 2 x 3

  2. Prime factorisation of 9 = 3 x 3

  3. LCM = 2 x 3 x 3 = 18



(ii) 8, 12



  1. Prime factorisation of 8 = 2 x 2 x 2

  2. Prime factorisation of 12 = 2 x 2 x 3

  3. LCM = 2 x 2 x 2 x 3 = 24



(iii) 10, 15



  1. Prime factorisation of 10 = 2 x 5

  2. Prime factorisation of 15 = 3 x 5

  3. LCM = 2 x 3 x 5 = 30



(iv) 14, 42



  1. Prime factorisation of 14 = 2 x 7

  2. Prime factorisation of 42 = 2 x 3 x 7

  3. LCM = 2 x 3 x 7 = 42



(v) 30, 40, 60



  1. Prime factorisation of 30 = 2 x 3 x 5

  2. Prime factorisation of 40 = 2 x 2 x 2 x 5

  3. Prime factorisation of 60 = 2 x 2 x 3 x 5

  4. LCM = 2 x 2 x 2 x 3 x 5 = 120



(vi) 15, 25, 75



  1. Prime factorisation of 15 = 3 x 5

  2. Prime factorisation of 25 = 5 x 5

  3. Prime factorisation of 75 = 3 x 5 x 5

  4. LCM = 3 x 5 x 5 = 75



Explanation


The prime factorisation method involves finding the prime factors of each number and then multiplying the common factors together. The LCM is the smallest multiple that is divisible by all of the given numbers. By finding the prime factors, we can easily determine the LCM by multiplying the highest power of each prime factor together.
Community Answer
Find the LCM of each set of numbers using the prime factorisation meth...
(i) 6, 9
Prime factorisation of 6 = 2 × 3
Prime factorisation of 9 = 3 × 3
Product of common factors = 3
Product of other factors = 2 × 3 = 6
LCM (6, 9) = 3 × 6 = 18

(ii) 8, 12
8 = 2 × 4 = 2 × 2 × 2
12 = 2 × 6 = 2 × 2 × 3
Product of common factors = 2 × 2 = 4
Product of other factors = 2 × 3 = 6
LCM = Product of common factors × Product of other factors = 4 × 6 = 24
LCM (8, 12) = 24.

(iii) 10, 15
10 = 2 × 5
15 = 3 × 5
Product of common factors = 5
Product of other factors = 2 × 3 = 6
LCM (10, 15) = Product of common factors × Product of other factors = 5 × 6 = 30

(iv) 14, 42
14 = 2 × 7
42 = 2 × 21 = 2 × 3 × 7
Product of common factors = 2 × 7
Product of other factors = 3
LCM (14, 42) = Product of common factors × Product of other factors = 2 × 7 × 3 = 42
LCM (14, 42) = 42
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Find the LCM of each set of numbers using the prime factorisation method. (i) 6, 9 (ii) 8, 12 (iii) 10, 15 (iv) 14, 42 (v) 30, 40, 60 (vi) 15, 25, 75?
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Find the LCM of each set of numbers using the prime factorisation method. (i) 6, 9 (ii) 8, 12 (iii) 10, 15 (iv) 14, 42 (v) 30, 40, 60 (vi) 15, 25, 75? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find the LCM of each set of numbers using the prime factorisation method. (i) 6, 9 (ii) 8, 12 (iii) 10, 15 (iv) 14, 42 (v) 30, 40, 60 (vi) 15, 25, 75? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the LCM of each set of numbers using the prime factorisation method. (i) 6, 9 (ii) 8, 12 (iii) 10, 15 (iv) 14, 42 (v) 30, 40, 60 (vi) 15, 25, 75?.
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