wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If a = 23 ✕ 3, b = 2 ✕ 3 ✕ 5, c = 3n ✕ 5 and LCM (a, b, c) = 23 ✕ 32 ✕ 5, then n =

(a) 1
(b) 2
(c) 3
(d) 4

Open in App
Solution

LCM ……(I)

We have to find the value for n

Also

We know that the while evaluating LCM, we take greater exponent of the prime numbers in the factorization of the number.

Therefore, by applying this rule and taking we get the LCM as

LCM ……(II)

On comparing (I) and (II) sides, we get:

Hence the correct choice is (b).


flag
Suggest Corrections
thumbs-up
208
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
The Fundamental Theorem of Arithmetic
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon