Question

É. Find the L.C.M. of the following numbers:

2.5 4 10
5. 5, 10, 16
6. 14, 20​

Answer 1

Question:-

Find the L.C.M. of the following numbers:

2.5 4 10

5. 5, 10, 16

6. 14, 20

Question:-

$\sf\fbox{5,4,10}$

Solutions:-

$(5, 4, 10) = 20$

$\sf\color{red}{Prime factorization of the numbers:}$

$5 = 5$

$4 = 2 × 2$

$10 = 2 × 5$

LCM$\implies{(5, 4, 10)}$

$\implies{2 × 2 × 5}$

$\implies{20}$

Answer:-

$\sf\fbox{20ans}$

Question:-

$\sf\fbox{5, 10, 16}$

Solutions:-

$(5, 10, 16) = 80$

$5 = 5$

$10 = 2 × 5$

$16 = 2 × 2 × 2 × 2$

LCM$\implies{(5, 10, 16)}$

$\implies{2 × 2 × 2 × 2 × 5}$

$\implies{80}$

Answer:-

$\sf\fbox{80ans}$

Question:-

$\sf\fbox{14, 20}$

Solutions:-

$(14.20) = 2 \\ \frac{14 \times 20}{2} \\ = 140$

$14 = 2 × 7$

$20 = 2 × 2 × 5$

LCM$\implies{(14, 20)}$

$\implies{2 × 2 × 5 × 7}$

$\implies{140}$

Answer:-

$\sf\fbox{140ans}$