Answer:
The L.C.M of given numbers is [tex]\frac{143}{240}a^5b^3[/tex].
Step-by-step explanation:
The given expressions are
[tex]\frac{13}{16}a^3b^3[/tex]
[tex]\frac{11}{30}a^5b[/tex]
The factors of given expressions are
[tex]\frac{13}{16}a^3b^3=\frac{13}{8}\times \frac{1}{2}\times a\times a\times a\times b\times b\times b[/tex]
[tex]\frac{11}{30}a^5b=\frac{11}{15}\times \frac{1}{2}\times a\times a\times a\times a\times a\times b[/tex]
[tex]L.C.M.=\frac{13}{8}\times \frac{1}{2}\times a\times a\times a\times b\times b\times b\times \frac{11}{15}\times a\times a[/tex]
[tex]L.C.M.=\frac{143}{240}\times a^5\times b^3[/tex]
[tex]L.C.M.=\frac{143}{240}a^5b^3[/tex]
Therefore, the L.C.M of given numbers is [tex]\frac{143}{240}a^5b^3[/tex].
