Question

2/3,3/5,4/7,9/13 LCM

Answer 1

LCM of fractions= LCM of numerators/ HCF of denominators
LCM of 2/3,3/5,4/7,9/13 =LCM of 2,3,4 and 9/ HCF of 3,5,7,13
LCM of 2,3,4 and 9 = 4x9= 36
since 3,5,7 and 13 are prime numbers their hcf is 1.
therefore the lcm of 2/3,3/5,4/7 and 9/13 is 36

Answer 2

Answer : $\bold{LCM \: = \: 36}$


Explanation-


Given :

$\dfrac{2}{3} \: \dfrac{3}{5} \: \dfrac{4}{7} \: \dfrac{9}{13}$


$Lcm \: = \dfrac{lcm \: of \: numerators}{hcf \: of \: denominators}$


Numerators = 2, 3, 4 and 7

LCM of Numerators = 36



Denominators = 3, 5, 7 and 13

HCF of Denominators = 1

$Lcm \: = \dfrac{36}{1} = 36$



Hence:

$\bold{LCM \: = \: 36}$