Let - be a binary operation on - given by a- b-LCMa- b for all a- b - Find 5 - 7 - -CBSE 2012-

As, nbsp;a nbsp;* nbsp;b nbsp;= LCM (a, nbsp;b) So, nbsp;5 * 7 nbsp;= LCM (5, 7) nbsp;= 35 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IV

Mathematics

LCM

Let * be a bi...

Question

Let * be a binary operation on N given by a * b = LCM (a, b) for all a, b $\in$ N. Find 5 * 7. [CBSE 2012]

Open in App

Solution

As, a * b = LCM (a, b)

So, 5 * 7 = LCM (5, 7) = 35

Suggest Corrections

Similar questions

Let $*$ be a 'binary' operation on N given by $a * b = L C M (a, b)$ for all $a, b$ $ϵ$ $N$ .

Find $5 * 7$ .

Let * be the binary operation on N defined by a * b = H.C.F. of a and b. Is * commutative? Is * associative? Does there exist identity for this binary operation on N?

Q. Let

*

be a 'binary' operation of

N

given by

a * b = L C M (a, b)

for all

a, b \in N

. Find

5 * 7.

Let * be the binary operation on N given by a * b = L.C.M. of a and b. Find

(i) 5 * 7, 20 * 16 (ii) Is * commutative?

(iii) Is * associative? (iv) Find the identity of * in N

(v) Which elements of N are invertible for the operation *?

State whether the following statements are true or false. Justify.

(i) For an arbitrary binary operation * on a set N, a * a = a a * N.

(ii) If * is a commutative binary operation on N, then a * (b * c) = (c * b) * a

Join BYJU'S Learning Program

Let * be a binary operation on N given by a * b = LCM (a, b) for all a, b ∈ N. Find 5 * 7. [CBSE 2012]

As, a * b = LCM (a, b) So, 5 * 7 = LCM (5, 7) = 35

Let * be a binary operation on N given by a * b = LCM (a, b) for all a, b $\in$ N. Find 5 * 7. [CBSE 2012]

As, a * b = LCM (a, b)

So, 5 * 7 = LCM (5, 7) = 35