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Question
Find the prime factors of the following numbers and find their LCM and HCF: 75, 135 [2 Marks]
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Solution
75 = 3 × 25 = 3 × 5 × 5
135 = 3 × 45 = 3 × 3 × 15 = 3 × 3 × 3 × 5
∴ HCF of 75 and 135 = 3 × 5= 15 [1 Mark]
∴ LCM of 75 and 135 = 3 × 5 × 5 × 3 × 3= 675 [1 Mark]
135 = 3 × 45 = 3 × 3 × 15 = 3 × 3 × 3 × 5
∴ HCF of 75 and 135 = 3 × 5= 15 [1 Mark]
∴ LCM of 75 and 135 = 3 × 5 × 5 × 3 × 3= 675 [1 Mark]
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