Answer:
[tex] \huge{ \fbox{ \sf{21}}}[/tex]
Step-by-step explanation:
[tex] \text{to \: find \: : L.C.M \: of \: 3 \: and \: 7}[/tex]
[tex] \text{Step \: 1 \: : First \: of \: all \: find \: the \: prime \: factors \: of \: each \: numerators}[/tex]
[tex] \mapsto{ \sf{ 3 = 3 \: ∗ \: 1}}[/tex]
[tex] \mapsto{ \sf{7 = 7 \: ∗ \: 1 \: }}[/tex]
[tex] \text{Step \: 2 \: : Take \: out \: the \: common \: prime \: factors}[/tex]
[tex] \sf{ \mapsto Common \: prime \: factor = 1}[/tex]
[tex] \text{Step \: 3 \: : Also \: take \: out \: the \: other \: remaining \: prime \: factors}[/tex]
[tex] \mapsto{ \sf{3 \: and \: 7}}[/tex]
[tex] \text{Step \: 4 \: : Multiply \: those \: all \: prime \: factors \: and \: obtain \: l.c.m}[/tex]
[tex] \mapsto{ \sf{1 \times 3 \times 7}}[/tex]
[tex] \mapsto{ \sf{21}}[/tex]
L.C.M of 3 and 7 = 21
Hope I helped!.
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
