Question

5 Find the L.C.M. and H.C.F. of the following pairs of integers and verify that L.C.M. X H.C.F. = product of two numbers: a) 84 and 105 b) 60 and 72 c) 26 and 91

Answer 1

a) 84=2*2*7*3
105=5*7*3
LCM= 7*3=21
HCF=2*2*5*7*3=420
LCM*HCF=21*420=8820
84*105=8820
b) 60=2*2*5*3
72=2*2*2*3*3
LCM=12
HCF=360
LCM*HCF=4320
60*72=4320
c)26=2*13
91=7*13
LCM=13
HCF=182
LCM*HCF=2366
26*91=2366