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

Answer 1

Answer:

c is the answer if a and b is a,b and c is b then c and a is c

Answer 2

The lcm of c and a is a.

Explanation:

We know that the lcm (least common multiple) of any two numbers a and b is the smallest number that is divisible by a and b.

Given : Lcm of a and b is a.

⇒ a is a multiple of a (which is trivial) and a is a multiple of b.

Also ,  lcm of b and c is b .

⇒ b is a multiple of b (which is trivial) and b is a multiple of c.

Since , a is a multiple of b and b is a multiple of c .

⇒ a is a multiple of c.  [By transitive property]

⇒ The lcm of c and a is a.

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