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Answers
Answer:
Step-by-step explanation:
6) a ) hcf of 18 and 63
Factors of 18 = 2 × 3 × 3
Factors of 63 = 3 × 3 × 7
∴ hcf of 18 and 63 = 3 × 3 = 9.
∴ lcm of 18 and 63 = 2 × 3 × 3 × 7 = 126
Product of two numbers = hcf × lcm
18 × 63 = 9 × 126
1134 = 1134.
b ) hcf of 46 and 51
Factors of 46 = 1 × 2 × 23
Factors of 51 = 1 × 3 × 17
∴ hcf of 46 and 51 = 1
∴ lcm of 46 and 51 = 1 × 2 × 3 × 17 × 23 = 2346
Product of two numbers = hcf × lcm
46 × 51 = 1 × 2346
2346 = 2346.
8) hcf of two numbers = 12
Their product = 1296
∴ lcm of two numbers = Product of two numbers / hcf of two numbers
= 1296 / 12
= 108.
9) a) lcm of 8 and 12
Factors of 8 = 2 × 2 × 2
Factors of 12 = 2 × 2 × 3
∴ lcm of 8 and 12 = 2 × 2 × 2 × 3 = 24.
b) lcm of 5 , 6 and 15
Factors of 5 = 1 × 5
Factors of 6 = 2 × 3
Factors of 15 = 3 × 5
∴ lcm of 5, 6 and 15 = 2 × 3 × 5 = 30.
10) Factors of 180 = 2 × 2 × 3 × 3 × 5
The two consecutive numbers are 10 and 18.
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