To find : LCM of [tex]3,6, 9,12,18[/tex]
Solution :
- LCM is the least common multiple of numbers .
- To find the LCM of [tex]3,6, 9,12,18[/tex] we find prime factors of [tex]3,6, 9,12,18[/tex]
- Prime factors of [tex]3 = 1\times 3[/tex]
- Prime factors of [tex]6 = 2\times 3[/tex]
- Prime factors of [tex]9 = 3\times 3[/tex]
- Prime factors of [tex]$12=2 \times 2 \times 3$[/tex]
- Prime factors of [tex]18 =2\times3\times 3[/tex]
- LCM of [tex]3,6, 9,12,18[/tex] = [tex]3\times 3\times 2\times2[/tex]
[tex]= 36[/tex]
Hence , LCM of [tex]3,6, 9,12,18[/tex] is [tex]36[/tex] .