Question

The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

Answer 1

ratio is 3:4;
hcf=4;
numbers can be obtained by multiplying; 3*4=12;
4*4=16;
the numbers are therefore 12,16;
lcm of 12 and 16=48;

Answer 2

Answer:

48

Step-by-step explanation:

x*y = LCM*HCF

3a*4a = LCM*4

LCM = 12$a^{2}$ / 4 = 3$a^{2}$

=> 3a*4a = 3$a^{2}$

=> 12a = 3$a^{2}$

=> a = 4

=> 3$a^{2}$

=> 3($4^{2}$)

=> 3*16

=> 48