find HCF and LCM of 3 20 and 180 with verification
Answers
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Answer:
the hcf is 20 and lcm is 2880.
Step-by-step explanation:
the prime factorization of 320 is =2*2*2*2*2*2*5
the prime factorization of 180 is =2*2*3*3*5
the hcf is the highest common factor of two no. which is
here two 2's are common and 5 are also common so we will skip other no. and write ,
the hcf of 360 and 180 =2*2* 5 =20
the prime factorization of 320 is =2*2*2*2*2*2*5
the prime factorization of 180 is =2*2*3*3*5
the lcm is the lowest common multiple of two no. which is
here two 2's are common and 5 are also common so we will take these and also include other no. and write ,
the lcm of 360 and 180 =2*2*5*2*2*2*2*3*3=2880
to verify it we will apply this equation which says
LCM*HCF=1st no. *2nd no.
2880*20=320*180
57600=57600
therefore RHS =LHS
SO ITS CORRECT AND VERIFIED.