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# Find the Lcm of 32,84,180

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Find the Lcm of 32,84,180

Guest Sep 9, 2014

#1
+20009
+8

Find the Lcm of 32,84,180 ?

Least Common Multiple, you need the prime factorization:

$$\mbox{prime factorization} \\\\ \begin{array}{rccccc} 32 =& 2^{{5}}\ *& 3^0 \ *& 5^0 \ *& 7^0\\ 84 =& 2^2 \ *& 3^1 \ *& 5^0 \ *& 7^{{1}}\\ 180 =& 2^2 \ *& 3^{{2}} \ *& 5^{{1}} \ *& 7^0\\ \hline \mbox{in each case the biggest exponent} & 2^{{5}} \ *& 3^{{2}} \ *& 5^{{1}} \ *& 7^{{1}} &= 10080 \\ \end{array}$$

LCM of 32, 84, 180 is 10080

10080 = 315 * 32

10080 = 120 * 84

10080 = 56 * 180

heureka  Sep 9, 2014
#1
+20009
+8

Find the Lcm of 32,84,180 ?

Least Common Multiple, you need the prime factorization:

$$\mbox{prime factorization} \\\\ \begin{array}{rccccc} 32 =& 2^{{5}}\ *& 3^0 \ *& 5^0 \ *& 7^0\\ 84 =& 2^2 \ *& 3^1 \ *& 5^0 \ *& 7^{{1}}\\ 180 =& 2^2 \ *& 3^{{2}} \ *& 5^{{1}} \ *& 7^0\\ \hline \mbox{in each case the biggest exponent} & 2^{{5}} \ *& 3^{{2}} \ *& 5^{{1}} \ *& 7^{{1}} &= 10080 \\ \end{array}$$

LCM of 32, 84, 180 is 10080

10080 = 315 * 32

10080 = 120 * 84

10080 = 56 * 180

heureka  Sep 9, 2014