Question

Find the LCM by common division method. (3 Marks) a) 12, 18, 27 b) 15, 25, 28​

Answer 1

Answer:

$2|12.18.27 \\ 3 |6.9.27 \\ 3 |2.3.9 \\ 2.1.3 \\ lcm = 2 \times 3 \times 3 \times 2 \times 3 = 108$

$5 |15.25.28 \\ 3.5.28 \\ lcm = 5 \times 3 \times 5 \times 28 = 2100$

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Answer 2

Answer:

324

of first

5250 of second

Step-by-step explanation:

2×2×3

2*3*3

3*3*3

=

2²*3

2*3²

3²*3

taking highest common factor of each number in each row:

2²*3²*3²=

4*9*9=

81*4=

324

b)

15= 3*5

25=5²

28=2²*7

therefore LCM

3*5²*2*5*7=

750*7=

5250.