LCM and HCF
HCF and LCM of fractions :
HCF of given fractions = \(\frac{{HCF\,\,of\,\,numerators}}{{LCM\,\,of\,\,deno\min ators}}\)
Ex : HCF of \(\frac{3}{2},\,\,\frac{2}{3},\,\,\frac{7}{5}\)
= \(\frac{{{2^0} \times {3^0} \times {7^0}}}{{30}}\) =\(\frac{1}{{30}}\)
LCM of given fractions =\(\frac{{LCM\,\,of\,\,numerators}}{{HCF\,\,of\,\,demoninators}}\)
Ex : Find LCM of \(\frac{2}{3},\,\,\frac{3}{2},\,\,\frac{5}{7}\)
=\(\frac{{30}}{1} = 30\)
HCF and LCM of fractions :
To find the HCF and LCM of decimals we convert the given decimals into fractions and then find HCF and LCM
Ex : 0.6, 0.84, 0.12
= \(\frac{6}{{10}},\,\,\,\,\frac{{84}}{{100}},\,\,\frac{{12}}{{100}}\)
= \(\frac{3}{5},\,\,\frac{{21}}{{25}},\,\,\frac{3}{{25}}\)
by using above formulas find HCF and LCM