Question

lcm of a and b is a. and lcm of band c is b.then what is the lcm of c and a

Answer 1

Answer:

LCM of and c is a.

 

Step-by-step explanation:

Given:

LCM of a and b = b

LCM of b and c = b

To find: LCM of c and a

We know that when LCM of two number is one of the number then that number is multiple of other number.

For example, LCM of x and y = x    ⇒ x is multiple of y or x = z × y   ( z is constant )

So, from given

a is multiple of b ⇒ a = l × b

and b is multiple of c ⇒ b = m × c

From above,

a = l × b = l × ( m × c ) = ( l × m ) × c

a = n × c         ( say, l × m = n )

⇒ a is multiple of c

⇒ LCM of a and c = a

Therefore, LCM of and c is a.