Question

find the lowest common multiple of 63,80 and 102​

Answer 1

Answer:

85680 is the lowest common multiple of 63,80 and 102

Answer 2

$\large \bold{ \underline{ \underline{ \: Answer : \: \: \: }}}$

$\to \bold{ LCM } ( 63 , 80 , 102 ) = 85680$

$\large \bold{ \underline{ \underline{ \: Explaination : \: \: \: }}}$

$\huge{ \star}$ Prime factorisation of 63

$\to 63 = {(3)}^{2} \times 7$

$\huge{ \star}$ Prime factorisation of 80

$80 = {(2)}^{4} \times 5$

$\huge{ \star}$ Prime factorisation of 102

$102 = 2 × 3 × 17$

$\bold{LCM} = {(2)}^{4} × {(3)}^{2} × 5 × 7 × 17 \\ \\ \bold{LCM} = 85680$

Hence , the LCM of 63 , 80 and 102 is 85680