Question

lcm of a and b is a and lcm of b and c is b then what is the lcm of c and a is​

Answer 1

LCM of c and a is a.

it's given, LCM of a and b is a, which means b is factor of a (or a is an multiple of b)

and it's also given, LCM of b and c is b, so b is an multiple of c.

since, a is multiple of b and b is multiple of c,

a is a multiple of c also.

LCM of a and c, is a.

for example :

Let a be 24, b be 6, c be 3.

LCM of a and b, that is LCM of 24 and 6 = 24 (a)

LCM of b and c, that is LCM of 6 and 3 = 6 (b)

LCM of a and c, that is LCM of 24 and 3 = 24 (a)