Question

Find the LCM of the following numbers by common division method. ( a ) . 60 , 150 .​

Answer 1

Answer:

Find the prime factorization of 60

60 = 2 × 2 × 3 × 5

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 3 × 5 × 5

LCM = 300

Answer 2

Step-by-step explanation:

$\huge\sf\blue{Question:} \:$

Find the LCM of the following numbers by common division method. ( a ) . 60 , 150 .

$\huge\sf\blue{Solution:} \:$

(a) 60, 150

Let's start doing✨

$\begin{lgathered}\begin{gathered}\begin{gathered}\begin{gathered} \:\:\begin{array}{c|c}{\underline{\sf{2}}}&{\underline{\sf{\:\:60 \: , \: 150\:\:}}}\\{\underline{\sf{2}}}& \underline{\sf{\:\:30, \: 75\:\:}}\\\underline{\sf{3}}&\underline{\sf{\:\:15, \: 75\:\:}} \\ {\underline{\sf{5}}}&\underline{\sf{\:5, \:25\:\:}} \\ {\underline{\sf{5}}}& \underline{\sf{\:\:1, \: 5\:\:}}\\ {\underline{\sf{}}}& \underline{\sf{\:\:1, \: 1\:\:}}\\\underline{\sf{}}&{\sf{\:\:\:\:}}\end{array}\end{gathered}\end{gathered}\end{gathered}\end{lgathered}$

$\implies\displaystyle{2 \times 2 \times 3 \times 5 \times 5}$

$\implies \displaystyle{300}$

$\sf{ \therefore \: LCM \: of \: 60 \: and \: 150 \: is \: 300. \: }$

Please Note:

If LCM table is not visible refer to the attachment or please view from website (brainly.in) .