The lcm of two number is 51 times their hcf.if one number is 27.find the other number?
Answers
Answer:
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Answer:
Step-by-step explanation:
Answer:
153
Step-by-step explanation:
We can list down the prime factors of 27.
The prime factors of 27 are as follows:
27 = 3 × 3 × 3
The prime factors of 51 are as follows:
51 = 3 × 17
The other number must be a multiple of 17 and 3 since 17 is also prime number.
The number should be however more than 51.
27 is divisible by : 3, 9 , 27
The lcm could therefore be :
51 × 3 = 153
51 × 9 = 459
51 × 27 = 1377
Since 153 is not divisible by 27 we eliminate it and take 459.
The HCF is 9 and the other number is 153 since 459 is divisible by 27 and 153.
The other number is thus 153 and the HCF is 9.
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