LCM of two numbers is 180. Then which of the following is not the HCF of the numbers?
(A) 45 (B) 60 (C) 75 (D) 90
Answers
Answered by
107
The answer is (C) 75 Because ,
In (A)=LCM/HCF =180/45 = 4 , 4∈ N.
In (B)=LCM/HCF =180/60 = 3 , 3∈ N.
In (C)=LCM/HCF =180/75 = 2.4 , 2.4∉ N.
In (D)=LCM/HCF =180/90 = 2 , 2∈N.
Thus we see
in every case the HCF of the numbers divide the LCM completely except in (C).Since we know that HCF of a number should divide the LCM completely, the answer is
(C)75.
In (A)=LCM/HCF =180/45 = 4 , 4∈ N.
In (B)=LCM/HCF =180/60 = 3 , 3∈ N.
In (C)=LCM/HCF =180/75 = 2.4 , 2.4∉ N.
In (D)=LCM/HCF =180/90 = 2 , 2∈N.
Thus we see
in every case the HCF of the numbers divide the LCM completely except in (C).Since we know that HCF of a number should divide the LCM completely, the answer is
(C)75.
Answered by
5
Answer:
your answer is 75
Step-by-step explanation:
LCM of 180/45= 4
LCM of 180/60=3
LCM of 180/75=2.4
LCM OF 180/90=2
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