Find the Lcm of 32,84,180 ?
Least Common Multiple, you need the prime factorization:
$$\mbox{prime factorization} \\\\
\begin{array}{rccccc}
32 =& 2^{\textcolor[rgb]{1,0,0}{5}}\ *& 3^0 \ *& 5^0 \ *& 7^0\\
84 =& 2^2 \ *& 3^1 \ *& 5^0 \ *& 7^{\textcolor[rgb]{1,0,0}{1}}\\
180 =& 2^2 \ *& 3^{\textcolor[rgb]{1,0,0}{2}} \ *& 5^{\textcolor[rgb]{1,0,0}{1}} \ *& 7^0\\
\hline
\mbox{in each case the biggest exponent}
& 2^{\textcolor[rgb]{1,0,0}{5}}
\ *& 3^{\textcolor[rgb]{1,0,0}{2}}
\ *& 5^{\textcolor[rgb]{1,0,0}{1}}
\ *& 7^{\textcolor[rgb]{1,0,0}{1}} &= 10080 \\
\end{array}$$
LCM of 32, 84, 180 is 10080
10080 = 315 * 32
10080 = 120 * 84
10080 = 56 * 180
Find the Lcm of 32,84,180 ?
Least Common Multiple, you need the prime factorization:
$$\mbox{prime factorization} \\\\
\begin{array}{rccccc}
32 =& 2^{\textcolor[rgb]{1,0,0}{5}}\ *& 3^0 \ *& 5^0 \ *& 7^0\\
84 =& 2^2 \ *& 3^1 \ *& 5^0 \ *& 7^{\textcolor[rgb]{1,0,0}{1}}\\
180 =& 2^2 \ *& 3^{\textcolor[rgb]{1,0,0}{2}} \ *& 5^{\textcolor[rgb]{1,0,0}{1}} \ *& 7^0\\
\hline
\mbox{in each case the biggest exponent}
& 2^{\textcolor[rgb]{1,0,0}{5}}
\ *& 3^{\textcolor[rgb]{1,0,0}{2}}
\ *& 5^{\textcolor[rgb]{1,0,0}{1}}
\ *& 7^{\textcolor[rgb]{1,0,0}{1}} &= 10080 \\
\end{array}$$
LCM of 32, 84, 180 is 10080
10080 = 315 * 32
10080 = 120 * 84
10080 = 56 * 180