The HCF of 2 numbers is 35 and the other two factors of their LCM are 11 and 17. Find the larger of the two numbers.
A) 595
B) 365
C) 275
D)385
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Answer:
Basic number theory stipulates LCM is always divisible by HCF.
Given HCF is 35.
If two factors of LCM are 11 & 17 ( neither of which is divisible by 35 nor they have any common factor with 35 ), the third factor must be 35 to make the LCM divisible by 35.
The smaller number will be 11 x 35 = 385 and larger number will be 17 x 35 = 595.
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Basic number theory stipulates LCM is always divisible by HCF.
Given HCF is 35.
If two factors of LCM are 11 & 17 ( neither of which is divisible by 35 nor they have any common factor with 35 ), the third factor must be 35 to make the LCM divisible by 35.
The smaller number will be 11 x 35 = 385 and larger number will be 17 x 35 = 595..✌️✌️
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